Schoen, Richard (Richard M.)
Overview
Works:  20 works in 83 publications in 5 languages and 887 library holdings 

Genres:  Conference papers and proceedings Filmed lectures Nonfiction films Educational films Textbooks 
Roles:  Author, Editor, Opponent 
Classifications:  QA641, 516.36 
Publication Timeline
.
Most widely held works by
Richard Schoen
Lectures on differential geometry by
Richard Schoen(
Book
)
15 editions published between 1994 and 2010 in English and Undetermined and held by 215 WorldCat member libraries worldwide
15 editions published between 1994 and 2010 in English and Undetermined and held by 215 WorldCat member libraries worldwide
Lectures on harmonic maps by
Richard Schoen(
Book
)
14 editions published between 1997 and 2013 in 3 languages and held by 203 WorldCat member libraries worldwide
14 editions published between 1997 and 2013 in 3 languages and held by 203 WorldCat member libraries worldwide
Lectures on geometric variational problems by
Seiki Nishikawa(
Book
)
11 editions published in 1996 in English and held by 176 WorldCat member libraries worldwide
The field of geometric variational problems, that is, nonlinear problems arising in geometry and topology from the point of view of global analysis, has developed very rapidly in the last decade. It was therefore felt timely to produce a set of presentations on this subject in which leading experts would provide general surveys of current research from the fundamentals to the most recent results with a view to future research. This volume will interest both mature researchers and graduate students concerned with gauge theory and low dimensional topology, theory of harmonic maps, minimal surfaces, and minimal submanifolds in Riemannian manifolds
11 editions published in 1996 in English and held by 176 WorldCat member libraries worldwide
The field of geometric variational problems, that is, nonlinear problems arising in geometry and topology from the point of view of global analysis, has developed very rapidly in the last decade. It was therefore felt timely to produce a set of presentations on this subject in which leading experts would provide general surveys of current research from the fundamentals to the most recent results with a view to future research. This volume will interest both mature researchers and graduate students concerned with gauge theory and low dimensional topology, theory of harmonic maps, minimal surfaces, and minimal submanifolds in Riemannian manifolds
Geometry and global analysis : report of the First MSJ International Research Institute, July 1223, 1993, Tohoku University,
Sendai, Japan by MSJ International Research Institute(
Book
)
10 editions published between 1993 and 1994 in English and Japanese and held by 67 WorldCat member libraries worldwide
10 editions published between 1993 and 1994 in English and Japanese and held by 67 WorldCat member libraries worldwide
Regularity and Evolution of Nonlinear Equations : Essays Dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck(
Book
)
4 editions published in 2015 in English and held by 57 WorldCat member libraries worldwide
4 editions published in 2015 in English and held by 57 WorldCat member libraries worldwide
Selected expository works of Shingtung Yau with commentary by
ShingTung Yau(
Book
)
2 editions published in 2014 in English and held by 39 WorldCat member libraries worldwide
2 editions published in 2014 in English and held by 39 WorldCat member libraries worldwide
New developments in the theory of geometric partial differential equations by
Richard Schoen(
Visual
)
6 editions published between 1986 and 1988 in English and held by 19 WorldCat member libraries worldwide
Exposé présenté au Congrès international des mathématiciens, tenu à Berkeley, Calif., en août 1986
6 editions published between 1986 and 1988 in English and held by 19 WorldCat member libraries worldwide
Exposé présenté au Congrès international des mathématiciens, tenu à Berkeley, Calif., en août 1986
The theory and applications of harmonic mappings between Riemannian manifolds by
Richard Schoen(
Visual
)
3 editions published in 1992 in English and held by 18 WorldCat member libraries worldwide
Richard Schoen provides an introduction to the field of harmonic maps. He discusses existence, uniqueness, regularity questions and various applications of the theory. The Bochner method and the application to rigidity questions for descrete groups is also covered
3 editions published in 1992 in English and held by 18 WorldCat member libraries worldwide
Richard Schoen provides an introduction to the field of harmonic maps. He discusses existence, uniqueness, regularity questions and various applications of the theory. The Bochner method and the application to rigidity questions for descrete groups is also covered
Surveys in differential geometry(
Book
)
4 editions published in 2015 in English and held by 14 WorldCat member libraries worldwide
4 editions published in 2015 in English and held by 14 WorldCat member libraries worldwide
Handbook of geometric analysis by
Lizhen Lin(
Book
)
1 edition published in 2008 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 9 WorldCat member libraries worldwide
Wei fen ji he by
ShingTung Yau(
Book
)
2 editions published in 1988 in Chinese and held by 6 WorldCat member libraries worldwide
Ben shu yi tuo pu he dai shu ji he wei ji chu er yi fen xi wei zhu yao gong ju, lun shu le ji he zhong de xian xing he fei xian xing wen ti
2 editions published in 1988 in Chinese and held by 6 WorldCat member libraries worldwide
Ben shu yi tuo pu he dai shu ji he wei ji chu er yi fen xi wei zhu yao gong ju, lun shu le ji he zhong de xian xing he fei xian xing wen ti
Reductive group actions with onedimensional quotient by
Hanspeter Kraft(
Book
)
1 edition published in 1992 in French and held by 5 WorldCat member libraries worldwide
1 edition published in 1992 in French and held by 5 WorldCat member libraries worldwide
On the existence of harmonic diffeomorphisms between surfaces by
Jürgen Jost(
Book
)
3 editions published in 1982 in English and German and held by 4 WorldCat member libraries worldwide
3 editions published in 1982 in English and German and held by 4 WorldCat member libraries worldwide
Handbook of geometric analysis by
Lizhen Lin(
Book
)
1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide
Handbook of geometric analysis by
Lizhen Lin(
Book
)
1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide
Bornes sur des valeurs propres et métriques extrémales by
Romain Petrides(
)
1 edition published in 2015 in French and held by 1 WorldCat member library worldwide
This thesis is devoted to the study of the Laplace eigenvalues and the Steklov eigenvalues on Riemannian manifolds. We look for optimal bounds among the set of metrics, lying in a conformal class or not. We also characterize, if they exist the metrics which reach these bounds. These extremal metrics have properties from the theory of minimal surfaces. First, we are interested in the upper bound of Laplace eigenvalues in a class of conformal metrics, called the conformal eigenvalues. In Chapter 1, we estimate the second conformal eigenvalue of the standard sphere. In Chapters 2 and 3, we prove that the first conformal eigenvalue of a Riemannian manifold is greater than the one of the standard sphere of same dimension, with equality only for the standard sphere. Then, we look for existence and regularity results for metrics which maximize eigenvalues on surfaces, in a given conformal class or not. In Chapters 3 and 4, we prove an existence result for Laplace eigenvalues. In Chapter 6, the work is done for Steklov eigenvalues. Finally, in Chapter 5, obtained in collaboration with Paul Laurain, we prove a regularity and quantification result for harmonic maps with free boundary on a Riemannian surface. It is a key component for Chapter 6
1 edition published in 2015 in French and held by 1 WorldCat member library worldwide
This thesis is devoted to the study of the Laplace eigenvalues and the Steklov eigenvalues on Riemannian manifolds. We look for optimal bounds among the set of metrics, lying in a conformal class or not. We also characterize, if they exist the metrics which reach these bounds. These extremal metrics have properties from the theory of minimal surfaces. First, we are interested in the upper bound of Laplace eigenvalues in a class of conformal metrics, called the conformal eigenvalues. In Chapter 1, we estimate the second conformal eigenvalue of the standard sphere. In Chapters 2 and 3, we prove that the first conformal eigenvalue of a Riemannian manifold is greater than the one of the standard sphere of same dimension, with equality only for the standard sphere. Then, we look for existence and regularity results for metrics which maximize eigenvalues on surfaces, in a given conformal class or not. In Chapters 3 and 4, we prove an existence result for Laplace eigenvalues. In Chapter 6, the work is done for Steklov eigenvalues. Finally, in Chapter 5, obtained in collaboration with Paul Laurain, we prove a regularity and quantification result for harmonic maps with free boundary on a Riemannian surface. It is a key component for Chapter 6
Uniqueness, symmetry, and embeddedness of minimal surfaces by
Richard Schoen(
Book
)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
Conference proceedings and lecture notes in geometry and topology(
Book
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
The theory and applications of harmonic mappings between Riemannian manifolds ; a lecture presented in Orono, ME, August 1991(
Visual
)
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
Harmonic maps into singular spaces and padic superrigidity for lattices in groups of rank one by
Mikhael Gromov(
Book
)
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Yau, ShingTung 1949 Author Editor
 Nishikawa, Seiki Author Editor
 Kotake, Takeshi Editor
 Nihon Sūgakkai
 Simon, L. (Leon) 1945 Dedicatee
 Japan Monbushō
 Tōhoku Daigaku
 Uhlenbeck, Karen K. Dedicatee
 Liu, Kefeng 1965 Editor
 Cao, HuaiDong Editor
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Associated Subjects
Approximation theory Conformal mapping Decomposition (Mathematics) Differential equations, Partial Evolution equations, Nonlinear Fiber bundles (Mathematics) Fixed point theory Gauge fields (Physics) Geometric analysis Geometry Geometry, Affine Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Global differential geometry Group schemes (Mathematics) Harmonic maps Mathematicians Mathematics MathematicsStudy and teaching (Higher) Moduli theory Riemannian manifolds United States Vector bundles Yau, ShingTung,
Alternative Names
Richard Schoen American mathematician
Richard Schoen Amerikaans wiskundige
Richard Schoen amerikansk matematikar
Richard Schoen amerikansk matematiker
Richard Schoen mathématicien américain
Richard Schoen USamerikanischer Mathematiker
Schoen, R.
Schoen, R. 1950
Schoen, R. (Richard)
Schoen, Richard
Schoen, Richard 1950
Schoen Richard M.
Schoen, Richard M. 1950
Schoen, Richard M. (Richard Melvin), 1950
Schoen, Richard Melvin
Scohen, Richard M. 1950
Scohen, Richard M. (Richard Melvin), 1950
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