Schroeder, Viktor
Overview
Works:  47 works in 83 publications in 4 languages and 702 library holdings 

Genres:  History Biography 
Roles:  Author, Thesis advisor, Editor, dgs 
Classifications:  QA649, 516.36 
Publication Timeline
.
Most widely held works by
Viktor Schroeder
Manifolds of nonpositive curvature by
Werner Ballmann(
Book
)
16 editions published in 1985 in 3 languages and held by 344 WorldCat member libraries worldwide
This volume presents a complete and selfcontained description of new results in the theory of manifolds of nonpositive curvature. It is based on lectures delivered by M. Gromov at the Collge de France in Paris. Among others these lectures threat local and global rigidity problems (e.g., a generalization of the famous Mostow rigidity theorem) and finiteness results for manifolds of finite volume. V. Schroeder wrote up these lectures, including complete and detailed proofs. A lot of background material is added to the first lectures. Therefore this book may also serve as an introduction to the subject of nonpositively curved manifolds. The latest progress in this area is reflected in the article of W. Ballmann describing the structure of manifolds of higher rank
16 editions published in 1985 in 3 languages and held by 344 WorldCat member libraries worldwide
This volume presents a complete and selfcontained description of new results in the theory of manifolds of nonpositive curvature. It is based on lectures delivered by M. Gromov at the Collge de France in Paris. Among others these lectures threat local and global rigidity problems (e.g., a generalization of the famous Mostow rigidity theorem) and finiteness results for manifolds of finite volume. V. Schroeder wrote up these lectures, including complete and detailed proofs. A lot of background material is added to the first lectures. Therefore this book may also serve as an introduction to the subject of nonpositively curved manifolds. The latest progress in this area is reflected in the article of W. Ballmann describing the structure of manifolds of higher rank
Elements of asymptotic geometry by
Sergei Buyalo(
Book
)
8 editions published in 2007 in English and held by 159 WorldCat member libraries worldwide
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local geometry does not come into play. An important class of model spaces are the hyperbolic spaces (in the sense of Gromov), for which the asymptotic geometry is nicely encoded in the boundary at infinity. In the first part of this book, in analogy with the concepts of classical hyperbolic geometry, the authors provide a systematic account of the basic theory of Gromov hyperbolic spaces. These spaces have been studied extensively in the last twenty years, and have found applications in group theory, geometric topology, Kleinian groups, as well as dynamics and rigidity theory. In the second part of the book, various aspects of the asymptotic geometry of arbitrary metric spaces are considered. It turns out that the boundary at infinity approach is not appropriate in the general case, but dimension theory proves useful for finding interesting results and applications. The text leads concisely to some central aspects of the theory. Each chapter concludes with a separate section containing supplementary results and bibliographical notes. Here the theory is also illustrated with numerous examples as well as relations to the neighboring fields of comparison geometry and geometric group theory. The book is based on lectures the authors presented at the Steklov Institute in St. Petersburg and the University of Zurich. It addressed to graduate students and researchers working in geometry, topology, and geometric group theory
8 editions published in 2007 in English and held by 159 WorldCat member libraries worldwide
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local geometry does not come into play. An important class of model spaces are the hyperbolic spaces (in the sense of Gromov), for which the asymptotic geometry is nicely encoded in the boundary at infinity. In the first part of this book, in analogy with the concepts of classical hyperbolic geometry, the authors provide a systematic account of the basic theory of Gromov hyperbolic spaces. These spaces have been studied extensively in the last twenty years, and have found applications in group theory, geometric topology, Kleinian groups, as well as dynamics and rigidity theory. In the second part of the book, various aspects of the asymptotic geometry of arbitrary metric spaces are considered. It turns out that the boundary at infinity approach is not appropriate in the general case, but dimension theory proves useful for finding interesting results and applications. The text leads concisely to some central aspects of the theory. Each chapter concludes with a separate section containing supplementary results and bibliographical notes. Here the theory is also illustrated with numerous examples as well as relations to the neighboring fields of comparison geometry and geometric group theory. The book is based on lectures the authors presented at the Steklov Institute in St. Petersburg and the University of Zurich. It addressed to graduate students and researchers working in geometry, topology, and geometric group theory
Math.ch/100 : Schweizerische Mathematische Gesellschaft, 19102010 = Société mathématique suisse = Swiss Mathematical Society(
Book
)
5 editions published in 2010 in 3 languages and held by 35 WorldCat member libraries worldwide
This book includes twentythree essays to celebrate the 100th anniversary of the Swiss Mathematical Society. The life and work of outstanding mathematicians, extraordinary conferences held in Switzerland such as the three International Congresses of Mathematicians, the influence of women in Swiss mathematics are among the topics. The articles, including many photographs, old and recent, give a vivid picture of hundred years of mathematical life in Switzerland. Dieses Buch ist eine Festschrift zum 100jährigen Bestehen der Schweizerischen Mathematischen Gesellschaft. Es enthält dreiundzwanzig Beiträge zur Mathematik in der Schweiz. Geschichtliches und Biographisches über herausragende Mathematiker an Schweizer Universitäten, grosse Tagungen wie etwa die drei Internationalen MathematikerKongresse, die Rolle der Frauen in der Schweizer Mathematik sind nur einige Themen. Insgesamt vermitteln die verschiedenen Essays zusammen mit den zahlreichen Abbildungen ein höchst lebendiges und anschauliches Panorama eines Jahrhunderts Schweizer Mathematik. Cet ouvrage a été édité pour marquer le 100e anniversaire de la Société Mathématique Suisse. Il rassemble vingttrois articles consacrés aux mathématiques en Suisse. Parmi beaucoup d'autres choses, les écrits évoquent la vie et l'œuvre de grands mathématiciens des universités suisses, les grands événements, dont les trois Congrès internationaux de mathématiques, ou encore la présence des femmes dans les mathématiques suisses. Agrémenté de nombreuses photos, anciennes et récentes, ce livre donne une image très vivante de cent années de vie mathématique en Suisse
5 editions published in 2010 in 3 languages and held by 35 WorldCat member libraries worldwide
This book includes twentythree essays to celebrate the 100th anniversary of the Swiss Mathematical Society. The life and work of outstanding mathematicians, extraordinary conferences held in Switzerland such as the three International Congresses of Mathematicians, the influence of women in Swiss mathematics are among the topics. The articles, including many photographs, old and recent, give a vivid picture of hundred years of mathematical life in Switzerland. Dieses Buch ist eine Festschrift zum 100jährigen Bestehen der Schweizerischen Mathematischen Gesellschaft. Es enthält dreiundzwanzig Beiträge zur Mathematik in der Schweiz. Geschichtliches und Biographisches über herausragende Mathematiker an Schweizer Universitäten, grosse Tagungen wie etwa die drei Internationalen MathematikerKongresse, die Rolle der Frauen in der Schweizer Mathematik sind nur einige Themen. Insgesamt vermitteln die verschiedenen Essays zusammen mit den zahlreichen Abbildungen ein höchst lebendiges und anschauliches Panorama eines Jahrhunderts Schweizer Mathematik. Cet ouvrage a été édité pour marquer le 100e anniversaire de la Société Mathématique Suisse. Il rassemble vingttrois articles consacrés aux mathématiques en Suisse. Parmi beaucoup d'autres choses, les écrits évoquent la vie et l'œuvre de grands mathématiciens des universités suisses, les grands événements, dont les trois Congrès internationaux de mathématiques, ou encore la présence des femmes dans les mathématiques suisses. Agrémenté de nombreuses photos, anciennes et récentes, ce livre donne une image très vivante de cent années de vie mathématique en Suisse
Über die Fundamentalgruppe von Räumen nichtpositiver Krümmung mit endlichem Volumen by
Viktor Schroeder(
Book
)
6 editions published between 1983 and 1984 in German and held by 33 WorldCat member libraries worldwide
6 editions published between 1983 and 1984 in German and held by 33 WorldCat member libraries worldwide
Elements of asymptotic geometry by Serguei Buyalo(
)
1 edition published in 2007 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 7 WorldCat member libraries worldwide
math.ch/100 Schweizerische Mathematische Gesellschaft  Société Mathématique Suisse  Swiss Mathematical Society 19102010(
)
1 edition published in 2010 in German and held by 5 WorldCat member libraries worldwide
1 edition published in 2010 in German and held by 5 WorldCat member libraries worldwide
math.ch/100 1910  2010(
Book
)
2 editions published in 2010 in German and held by 4 WorldCat member libraries worldwide
2 editions published in 2010 in German and held by 4 WorldCat member libraries worldwide
Manifolds of Nonpositive Curvature by
Werner Ballmann(
)
1 edition published in 1985 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 3 WorldCat member libraries worldwide
Rigidity of nonpositively curved graphmanifolds by
Viktor Schroeder(
Book
)
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
The fundamental group of compact manifolds without conjugate points by
Christopher B Croke(
Book
)
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
Codimension one tori in manifolds of nonpositive curvature by
Viktor Schroeder(
Book
)
2 editions published in 1988 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1988 in English and held by 2 WorldCat member libraries worldwide
Ueber die Fundamentalgruppe von Raeumen nichtpositiver Kruemmung mit endlichem Volumen by
Viktor Schroeder(
Book
)
2 editions published between 1983 and 1984 in German and held by 2 WorldCat member libraries worldwide
2 editions published between 1983 and 1984 in German and held by 2 WorldCat member libraries worldwide
Badly approximable elements in diophantine approximationl : Schmidt games, Jarníktype inequalities and faperiodic points by Steffen Weil(
Book
)
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
Measuring geodesics' aperiodicity by Ramagul Gulasan Anna Mätzener(
Book
)
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide
A cusp closing theorem by
Viktor Schroeder(
Book
)
2 editions published in 1988 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1988 in English and held by 2 WorldCat member libraries worldwide
Invariant coverings of the Heisenberg group by Renlong Miao(
Book
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
Quasigeostrophic dynamics based on PV inversion by Michael Keller(
Book
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
FiniteElementeMethoden für StokesProbleme mit komplizierten Randbedingungen by Valentin Künzle(
Book
)
1 edition published in 2009 in German and held by 1 WorldCat member library worldwide
1 edition published in 2009 in German and held by 1 WorldCat member library worldwide
Beziehungen zwischen Abbildungen auf dem Rand und im Innern eines GromovRaumes by Céline Lörtscher(
Book
)
1 edition published in 2006 in German and held by 1 WorldCat member library worldwide
1 edition published in 2006 in German and held by 1 WorldCat member library worldwide
Hyperbolische Approximation eines quasimetrischen Raumes by
Martin Steiger(
Book
)
1 edition published in 2009 in German and held by 1 WorldCat member library worldwide
1 edition published in 2009 in German and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Ballmann, Werner Author
 Gromov, Mikhael 1943
 Buyalo, Sergei Author
 Colbois, Bruno Editor
 Riedtmann, Christine Editor
 Schweizerische Mathematische Gesellschaft
 European Mathematical Society Editor
 Buyalo, Serguei Author
 Weil, Steffen Author
 Dranishnikov, Alexander Author
Associated Subjects
Curvature Dimension theory (Topology) Finite groups Fundamental groups (Mathematics) Geometry, Differential Geometry, Hyperbolic Global differential geometry Group theory Hyperbolic spaces Manifolds (Mathematics) Mathematicians Mathematics Riemannian manifolds Switzerland Topological groups Topology