Cao, HuaiDong
Overview
Works:  26 works in 65 publications in 1 language and 534 library holdings 

Genres:  Conference proceedings 
Roles:  Editor, Author, Thesis advisor, Dedicatee 
Classifications:  QA641, 516.36 
Publication Timeline
.
Most widely held works by
HuaiDong Cao
Geometric flows
(
Book
)
9 editions published in 2008 in English and held by 146 WorldCat member libraries worldwide
9 editions published in 2008 in English and held by 146 WorldCat member libraries worldwide
Surveys in differential geometry : geometry, analysis and algebraic geometry : forty years of the Journal of differential geometry
(
Book
)
4 editions published in 2009 in English and held by 79 WorldCat member libraries worldwide
4 editions published in 2009 in English and held by 79 WorldCat member libraries worldwide
Geometry and topology : lectures given at the Geometry and Topology conferences at Harvard University in 2011 and at Lehigh University in 2012
(
Book
)
6 editions published in 2013 in English and held by 74 WorldCat member libraries worldwide
6 editions published in 2013 in English and held by 74 WorldCat member libraries worldwide
In memory of C.C. Hsiung : lectures given at the JDG Symposium, Lehigh University, June 2010
by International symposium on geometry and topology(
Book
)
10 editions published in 2012 in English and held by 71 WorldCat member libraries worldwide
10 editions published in 2012 in English and held by 71 WorldCat member libraries worldwide
Collected papers on Ricci flow
(
Book
)
2 editions published in 2003 in English and held by 60 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 60 WorldCat member libraries worldwide
Geometry, analysis and algebraic geometry forty years of the Journal of Differential Geometry
(
Book
)
6 editions published in 2009 in English and held by 56 WorldCat member libraries worldwide
6 editions published in 2009 in English and held by 56 WorldCat member libraries worldwide
Surveys in differential geometry. lectures given at the Geometry and Topology conferences at Harvard University in 2011 and at Lehigh University in 2012
(
Book
)
2 editions published in 2013 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 2013 in English and held by 7 WorldCat member libraries worldwide
Surveys in differential geometry
(
Book
)
2 editions published in 2012 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2012 in English and held by 5 WorldCat member libraries worldwide
Structure of threedimensional space : the Poincaré and geometrization conjectures
(
Book
)
3 editions published between 2006 and 2007 in English and held by 5 WorldCat member libraries worldwide
3 editions published between 2006 and 2007 in English and held by 5 WorldCat member libraries worldwide
Surveys in differential geometry : geometric flows
(
Book
)
3 editions published in 2008 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 2008 in English and held by 4 WorldCat member libraries worldwide
Surveys in differential geometry
(
Book
)
2 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide
A complete proof of the Poincaré and geometrization conjectures : application of the HamiltonPerelman theory of the Ricci flow
by
HuaiDong Cao(
Book
)
1 edition published in 2006 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 3 WorldCat member libraries worldwide
Surveys in differential geometry, geometric flows
by
HuaiDong Cao(
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
On stability and rigidity of gradient Ricci solitons
by
Meng Zhu(
Book
)
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
In [1], CaoHamiltonIlmanen presented the second variations of lambda( g) and nu(g) and investigated the entropy stability of compact Ricci flat and positive Einstein manifolds. In this paper, we first compute the second variation of nu+(g) and briefly discuss the entropy stability of compact hyperbolic space forms. Next, we calculate the second variation of nu(g) for general compact gradient shrinking solitons which was essentially due to CaoHamiltonIlmanen (first stated in [2], see also [3]). Our main contributions are that we give all the computational detail which CaoHamiltonIlmanen did not show, and the last term in their formula was corrected. As an application of this formula, we obtain a necessary condition for entropy stable shrinkers in terms of the least eigenvalue and its multiplicity of certain Lichnerowicz type operator associated to the second variation
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
In [1], CaoHamiltonIlmanen presented the second variations of lambda( g) and nu(g) and investigated the entropy stability of compact Ricci flat and positive Einstein manifolds. In this paper, we first compute the second variation of nu+(g) and briefly discuss the entropy stability of compact hyperbolic space forms. Next, we calculate the second variation of nu(g) for general compact gradient shrinking solitons which was essentially due to CaoHamiltonIlmanen (first stated in [2], see also [3]). Our main contributions are that we give all the computational detail which CaoHamiltonIlmanen did not show, and the last term in their formula was corrected. As an application of this formula, we obtain a necessary condition for entropy stable shrinkers in terms of the least eigenvalue and its multiplicity of certain Lichnerowicz type operator associated to the second variation
Surveys in differential geometry
(
Book
)
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide
Some Uniqueness And Rigidity Results On Gradient Ricci Solitons
by
Qiang Chen(
Book
)
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
In the proof we constructed a covariant 3tensor called the Dtensor which is verified to be a key link for the geometry of Ricci solitons and the wellknown Weyl curvature, Cotton tensor and Bach tensor
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
In the proof we constructed a covariant 3tensor called the Dtensor which is verified to be a key link for the geometry of Ricci solitons and the wellknown Weyl curvature, Cotton tensor and Bach tensor
Surveys in differential geometry
(
Book
)
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
Surveys in differential geometry
(
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
Geometry and topology : lectures given at the Geometry and topology conferences at Harvard university in 2011 and at the Lehigh university in 2012
(
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
Deformation of Kahler matrics [i.e. metrics] to KahlerEinstein metrics on compact Kahler manifolds
by
HuaiDong Cao(
Book
)
2 editions published between 1985 and 1986 in English and held by 1 WorldCat member library worldwide
2 editions published between 1985 and 1986 in English and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Yau, ShingTung 1949 Editor
 Chu, S. C.
 Hsiung, ChuanChih 19162009 Honoree Dedicatee
 Kollár, János Contributor
 Zelditch, Steven 1953 Contributor
 Brendle, Simon 1981 Contributor
 Cecottie, Sergio Contributor
 Vafa, Cumrun Contributor
 Lawson, H. Blaine Contributor
 LeBrun, Claude 1956 Contributor