国家自然科学基金(11171253)

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A new proof of a theorem of Petersen
《Science China Mathematics》2016年第5期935-944,共10页YANG YiHu ZHANG Yi 
supported by National Natural Science Foundation of China(Grant No.11171253)
Let M be an n-dimensional complete Riemannian manifold with Ricci curvature n- 1. By developing some new techniques, Colding(1996) proved that the following three conditions are equivalent: 1)dGH(M, S^n) → 0; 2) the ...
关键词：radius eigenvalues Gromov-Hausdorff distance 
Eigenvalue Comparison Theorems on Finsler Manifolds被引量：1
《Chinese Annals of Mathematics,Series B》2015年第1期31-44,共14页Songting YIN Qun HE 
supported by the National Natural Science Foundation of China(Nos.11471246,11171253);the Natural Science Foundation of the Anhui Higher Education Institutions(No.KJ2014A257)
Cheng-type inequality, Cheeger-type inequality and Faber-Krahn-type inequality are generalized to Finsler manifolds. For a compact Finsler manifold with the weighted Ricci curvature bounded from below by a negative co...
关键词：The first eigenvalue Finsler-Laplacian Ricci curvature S-CURVATURE 
On the first eigenvalue of Finsler manifolds with nonnegative weighted Ricci curvature被引量：2
《Science China Mathematics》2014年第5期1057-1070,共14页YIN SongTing HE Qun SHEN YiBing 
supported by National Natural Science Foundation of China(Grant No.11171253);the Natural Science Foundation of Ministry of Education of Anhui Province(Grant No.KJ2012B197)
We prove that for a compact Finsler manifold M with nonnegative weighted Ricci curvature,if its first closed(resp.Neumann)eigenvalue of Finsler-Laplacian attains the sharp lower bound,then M is isometric to a circle(r...
关键词：Finsler-Laplacian the first eigenvalue Ricci curvature S curvature 
Gradient Estimates and Harnack Inequality for a Nonlinear Parabolic Equation on Complete Manifolds被引量：1
《Communications in Mathematics and Statistics》2013年第4期437-464,共28页Jiaxian Wu Yi-Hu Yang 
Supported partially by NSF of China(No.11171253).
Let M be a noncompact complete Riemannian manifold.In this paper,we consider the following nonlinear parabolic equation on M ut(x,t)=△u(x,t)+au(x,t)ln u(x,t)+bu^α(x,t).We prove a Li–Yau type gradient estimate for p...
关键词：Gradient estimate Ricci curvature Harnack inequality Nonlinear parabolic equation 
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