WorldCat Identities

Cao, Huai-Dong

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
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Most widely held works by Huai-Dong Cao
Geometric flows ( Book )
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
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
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
Collected papers on Ricci flow ( Book )
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
Surveys in differential geometry ( Book )
2 editions published in 2012 in English and held by 5 WorldCat member libraries worldwide
Structure of three-dimensional space : the Poincaré and geometrization conjectures ( Book )
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
Surveys in differential geometry ( Book )
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 Hamilton-Perelman theory of the Ricci flow by Huai-Dong Cao( Book )
1 edition published in 2006 in English and held by 3 WorldCat member libraries worldwide
Surveys in differential geometry, geometric flows by Huai-Dong Cao( Book )
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], Cao-Hamilton-Ilmanen 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 Cao-Hamilton-Ilmanen (first stated in [2], see also [3]). Our main contributions are that we give all the computational detail which Cao-Hamilton-Ilmanen 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
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 3-tensor called the D-tensor which is verified to be a key link for the geometry of Ricci solitons and the well-known 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
Surveys in differential geometry ( Book )
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
Deformation of Kahler matrics [i.e. metrics] to Kahler-Einstein metrics on compact Kahler manifolds by Huai-Dong Cao( Book )
2 editions published between 1985 and 1986 in English and held by 1 WorldCat member library worldwide
 
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Alternative Names
Cao, H. D.
Cao Huai-Dong
H. D. Cao.
Huai-Dong Cao.
Languages
English (59)
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