MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Chern forms of holomorphic Finsler vector bundles and some applications

Huitao Feng Kefeng Liu Xueyuan Wan

Differential Geometry mathscidoc:1912.43079

International Journal of Mathematics, 27, (4), 1650030, 2016.4
In this paper, we present two kinds of total Chern forms c(E,G) and c(E,G) as well as a total Segre form c(E,G) of a holomorphic Finsler vector bundle c(E,G) expressed by the Finsler metric c(E,G), which answers a question of Faran [The equivalence problem for complex Finsler Hamiltonians, in <i>Finsler Geometry</i>, Contemporary Mathematics, Vol. 196 (American Mathematical Society, Providence, RI, 1996), pp. 133144] to some extent. As some applications, we show that the signed Segre forms c(E,G) are positive c(E,G)-forms on c(E,G) when c(E,G) is of positive Kobayashi curvature; we prove, under an extra assumption, that a FinslerEinstein vector bundle in the sense of Kobayashi is semi-stable; we introduce a new definition of a flat Finsler metric, which is weaker than Aikous one [Finsler geometry on complex vector bundles, in <i>A Sampler of RiemannFinsler Geometry</i>, MSRI Publications, Vol. 50 (Cambridge
No keywords uploaded!
[ Download ] [ 2019-12-21 11:14:28 uploaded by Kefeng_Liu ] [ 680 downloads ] [ 0 comments ] 
@inproceedings{huitao2016chern,
  title={Chern forms of holomorphic Finsler vector bundles and some applications},
  author={Huitao Feng, Kefeng Liu, and Xueyuan Wan},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111428385001639},
  booktitle={International Journal of Mathematics},
  volume={27},
  number={4},
  pages={1650030},
  year={2016},
}
Huitao Feng, Kefeng Liu, and Xueyuan Wan. Chern forms of holomorphic Finsler vector bundles and some applications. 2016. Vol. 27. In International Journal of Mathematics. pp.1650030. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111428385001639.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved