国家自然科学基金(s10831008)

作品数：5被引量：4H指数：1
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Scalar curvatures in almost Hermitian geometry and some applications被引量：1
《Science China Mathematics》2022年第12期2583-2600,共18页Jixiang Fu Xianchao Zhou 
supported by National Natural Science Foundation of China(Grant Nos.10831008,11025103 and 11501505)。
On an almost Hermitian manifold, there are two Hermitian scalar curvatures associated with a canonical Hermitian connection. In this paper, two explicit formulas on these two scalar curvatures are obtained in terms of...
关键词：J-scalar curvature canonical Hermitian connection Hermitian scalar curvature the first Chern form balanced metric k-Gauduchon metric 
Prescribing Curvature Problems on the Bakry-Emery Ricci Tensor of a Compact Manifold with Boundary
《Chinese Annals of Mathematics,Series B》2014年第1期139-160,共22页Weimin SHENG Lixia YUAN 
Project supported by the National Natural Science Foundation of China(Nos.10831008,11131007)
t The authors consider the problem of conformally deforming a metric such that the k-curvature defined by an elementary symmetric function of the eigenvalues of the Bakry-Emery Ricci tensor on a compact manifold with ...
关键词：k-Curvature Bakry-Emery Ricci tensor Complete metric Dirichletproblem 
Dynamics of Commuting Rational Maps on Berkovich Projective Space over C_p
《Acta Mathematica Sinica,English Series》2013年第8期1459-1478,共20页Shi Lei FAN Yue Fei WANG 
Supported by National Natural Science Foundation of China (Grant Nos.10831008 and 11231009)
We study the dynamics of commuting rational maps with coefficients in Cp. By lifting the dynamics from P1（Cp） to Berkovich projective space P1 Berk, we prove that two nonlinear commuting maps have the same Berkovich...
关键词：Non-Archimedean field Berkovich projective line Fatou set Julia set 
Dirichlet Problem for Hermitian-Einstein Equation over Almost Hermitian Manifold被引量：2
《Acta Mathematica Sinica,English Series》2012年第6期1249-1260,共12页Yue WANG Xi ZHANG 
supported in part by National Natural Science Foundation of China (Grant No. 10901147);supported in part by National Natural Science Foundation of China (Grant Nos. 10831008 and 11071212);the Ministry of Education Doctoral Fund 20060335133
In this paper, we investigate the Dirichlet problem for Hermitian-Einstein equation on complex vector bundle over almost Hermitian manifold, and we obtain the unique solution of the Dirichlet problem for Hermitian-Ein...
关键词：Hermitian-Einstein equation almost-Hermitian manifold complex vector bundle Dirich-let problem 
Smoothing positive currents and the existence of Khler-Einstein metrics被引量：1
《Science China Mathematics》2012年第5期893-912,共20页CHEN BingLong 
supported by National Natural Science Foundation of China (Grant Nos.10831008,11025107);Fundamental Research Funds for Central Universities (Grant No 2010-34000-3162643);High Level Talent Project in High Schools in Gongdong Province (Grant No 34000-5221001)
In this paper,we prove a general existence theorem of Khler-Einstein metrics on complete Khler manifolds.We use the heat equation method smoothing certain positive (1,1) current in the canonical class.
关键词：Khler-Einstein metric 
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