Zobrazeno 1 - 10
of 157
pro vyhledávání: '"Zheng, Fangyang"'
Autor:
Chen, Shuwen, Zheng, Fangyang
A Hermitian-symplectic metric is a Hermitian metric whose K\"ahler form is given by the $(1,1)$-part of a closed $2$-form. Streets-Tian Conjecture states that a compact complex manifold admitting a Hermitian-symplectic metric must be K\"ahlerian (i.e
Externí odkaz:
http://arxiv.org/abs/2410.10540
Autor:
Cao, Kexiang, Zheng, Fangyang
A Hermitian-symplectic metric is a Hermitian metric whose K\"ahler form is given by the $(1,1)$-part of a closed $2$-form. Streets-Tian Conjecture states that a compact complex manifold admitting a Hermitian-symplectic metric must be K\"ahlerian (i.e
Externí odkaz:
http://arxiv.org/abs/2410.04791
Autor:
Guo, Yuqin, Zheng, Fangyang
A Hermitian-symplectic metric is a Hermitian metric whose K\"ahler form is given by the $(1,1)$-part of a closed $2$-form. Streets-Tian Conjecture states that a compact complex manifold admitting a Hermitian-symplectic metric must be K\"ahlerian (i.e
Externí odkaz:
http://arxiv.org/abs/2409.09425
Autor:
Zhao, Quanting, Zheng, Fangyang
In this article, we study Hermitian manifolds whose Bismut connection has parallel torsion, which will be called {\em Bismut torsion parallel manifolds,} or {\em BTP} manifolds for brevity. We obtain a necessary and sufficient condition characterizin
Externí odkaz:
http://arxiv.org/abs/2407.10497
Autor:
Chen, Shuwen, Zheng, Fangyang
An old conjecture in non-K\"ahler geometry states that, if a compact Hermitian manifold has constant holomorphic sectional curvature, then the metric must be K\"ahler (when the constant is non-zero) or Chern flat (when the constant is zero). It is kn
Externí odkaz:
http://arxiv.org/abs/2405.09110
Autor:
Cao, Kexiang, Zheng, Fangyang
Publikováno v:
Math. Zeit. 307 (2024), no. 2, Paper No. 31
In this paper, we confirm the Fino-Vezzoni Conjecture for unimodular Lie algebras which contain abelian ideals of codimension two, a natural generalization to the class of almost abelian Lie algebras. This provides new evidence towards the validity o
Externí odkaz:
http://arxiv.org/abs/2311.09906
Autor:
Podestà, Fabio, Zheng, Fangyang
In this article, we investigate the class of Hermitian manifolds whose Bismut connection has parallel torsion ({\rm BTP} for brevity). In particular, we focus on the case where the manifold is (locally) homogeneous with respect to a group of holomorp
Externí odkaz:
http://arxiv.org/abs/2310.14002
Autor:
Zhao, Quanting, Zheng, Fangyang
This paper is a sequel to our studies \cite{ZZ} and \cite{YZZ} on Bismut K\"ahler-like manifolds, or {\em BKL} manifolds for short. We will study the structural theorems for {\em BKL} manifolds, prove a conjecture raised in \cite{YZZ} which states th
Externí odkaz:
http://arxiv.org/abs/2303.09267
Autor:
Ni, Lei, Zheng, Fangyang
We apply the algebraic consideration of holonomy systems to study Hermitian manifolds whose Chern connection is Ambrose-Singer and prove structure theorems for such manifolds. The main result (Theorem 1.2) asserts that the universal cover of such a H
Externí odkaz:
http://arxiv.org/abs/2301.00579
Autor:
Guo, Yuqin, Zheng, Fangyang
Publikováno v:
Math Zeit 304 (2023), no.3, Paper No 51, 24pp
We examine Hermitian metrics on unimodular Lie algebras which contains a $J$-invariant abelian ideal of codimension two, and give a classification for all Bismut K\"ahler-like and all Bismut torsion-parallel metrics on such Lie algebras.
Externí odkaz:
http://arxiv.org/abs/2212.04887