supported by National Natural Science Foundation of China(11671121,11871197)
In this paper, we discuss the Lagrangian angle and the K?hler angle of immersed surfaces in C2. Firstly, we provide an extension of Lagrangian angle, Maslov form and Maslov class to more general surfaces in C2 than La...
supported by the Natural Science Foundation of Fujian Province(2013J01027)
In this paper, we explicitly construct some rotationally symmetric gradient pseudo- Kahler-Ricci solitons which depend on some parameters, on some line bundles and other bundles over projective spaces. We also discuss...
supported by the Science and Technology Development Fund(Macao S.A.R.),Grant FDCT/016/2013/A1;the Project MYRG2015-00235-FST of the University of Macao
We prove that, under a semi-ampleness type assumption on the twisted canonical line bundle, the conical Kahler-Ricci flow on a minimal elliptic Kahler surface converges in the sense of currents to a generalized conica...
supported by the National Natural Science Foundation of China under the grant numbers 11126073;the Fundamental Research Funds for the Central Universities of SCUT under the grant number 2012ZB0017
In this article, we study the steady, shrinking, and expanding Kahler-Ricci solitons with vanishing Bochner-Weyl tensor and prove that, under this condition, the Ricci solitons must have constant holomorphic sectional...
Supported by the National Natural Science Foundation of China (10571144,10771174);Program for New Centery Excellent Talents in Xiamen University
By using the Chern-Finsler connection and complex Finsler metric, the Bochner technique on strong K/ihler-Finsler manifolds is studied. For a strong K/ihler-Finsler manifold M, the authors first prove that there exist...
Project supported by the National Natural Science Foundation of China (10271106)
In terms of the almost complex affine connection and moving unitary frames, all totally rael minimal immersions from R-2 into the nearly Kahler S-6 axe determine explicitly. Moreover, the complete flat almost complex ...