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Xiaodong Cao
Xiaodong Cao
Professor of Mathematics, Cornell University
Verified email at cornell.edu - Homepage
Title
Cited by
Cited by
Year
Gradient estimates for the heat equation under the Ricci flow
M Bailesteanu, X Cao, A Pulemotov
Journal of Functional Analysis 258 (10), 3517-3542, 2010
1292010
Differential Harnack estimates for time-dependent heat equations with potentials
X Cao, RS Hamilton
Geometric and Functional Analysis 19, 989-1000, 2009
1132009
Eigenvalues of on manifolds with nonnegative curvature operator
X Cao
Mathematische Annalen 337 (2), 435-441, 2007
1122007
First eigenvalues of geometric operators under the Ricci flow
X Cao
Proceedings of the American Mathematical Society 136 (11), 4075-4078, 2008
972008
The conjugate heat equation and ancient solutions of the Ricci flow
X Cao, QS Zhang
Advances in Mathematics 228 (5), 2891-2919, 2011
882011
On locally conformally flat gradient shrinking Ricci solitons
X Cao, B Wang, Z Zhang
Communications in Contemporary Mathematics 13 (02), 269-282, 2011
802011
Differential Harnack estimates for backward heat equations with potentials under the Ricci flow
X Cao
Journal of Functional Analysis 255 (4), 1024-1038, 2008
672008
Compact gradient shrinking Ricci solitons with positive curvature operator
X Cao
The Journal of Geometric Analysis 17, 425-433, 2007
442007
Differential Harnack estimates for a nonlinear heat equation
X Cao, BF Ljungberg, B Liu
Journal of Functional Analysis 265 (10), 2312-2330, 2013
402013
Backward Ricci flow on locally homogeneous three-manifolds
X Cao, L Saloff-Coste
arXiv preprint arXiv:0810.3352, 2008
332008
Estimate and monotonicity of the first eigenvalue under the Ricci flow
X Cao, S Hou, J Ling
Mathematische Annalen 354 (2), 451-463, 2012
322012
The Weyl tensor of gradient Ricci solitons
X Cao, H Tran
Geometry & Topology 20 (1), 389-436, 2016
252016
The backward behavior of the Ricci and cross curvature flows on SL (2, R)
X Cao, J Guckenheimer, L Saloff-Coste
arXiv preprint arXiv:0906.4157, 2009
232009
Cross curvature flow on locally homogeneous three-manifolds (II)
X Cao, L Saloff-Coste
222009
Curvature pinching estimate and singularities of the Ricci flow
X Cao
arXiv preprint arXiv:1010.6064, 2010
212010
Differential Harnack estimates for Fisher’s equation
X Cao, B Liu, I Pendleton, A Ward
Pacific Journal of Mathematics 290 (2), 273-300, 2017
202017
Harnack estimates for conjugate heat kernel on evolving manifolds
X Cao, H Guo, H Tran
Mathematische Zeitschrift 281 (1), 201-214, 2015
192015
Curvature of the second kind and a conjecture of Nishikawa
X Cao, MJ Gursky, H Tran
Commentarii Mathematici Helvetici 98 (1), 195-216, 2023
182023
Differential Harnack estimates for parabolic equations
X Cao, Z Zhang
Complex and Differential Geometry: Conference held at Leibniz Universität …, 2011
172011
Harnack estimate for the endangered species equation
X Cao, M Cerenzia, D Kazaras
Proceedings of the American Mathematical Society 143 (10), 4537-4545, 2015
152015
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