supported by National Natural Science Foundation of China (Grant No.1131008);partially by National Science Foundation of USA
We consider the question of characterizing compact quotients of the complex 2-ball by curvature conditions, which improve the known results. Moreover, we also give curvature conditions such that a compact Kaehler-Eins...
supported by the Research Foundation of Beijing Government(Grant No.YB20081002802);National Natural Science Foundation of China(Grant No.10771144)
Complex Monge-Ampère equation is a nonlinear equation with high degree, so its solution is very difficult to get. How to get the plurisubharmonic solution of Dirichlet problem of complex Monge-Ampère equation on the...
Research partially supported by the Ministry of Science and Environmental Protectipn of Serbia, Project 1646;Research partially supported by EGIDE, Pavle Savic 07945VC(France)
In this paper, we study Lagrangian submanifolds of the nearly Kaehler 6-sphere. We derive a pinching result for the Ricci curvature of such submanifolds thus providing a characterisation of the totally geodesic subman...