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pro vyhledávání: '"Zhao, Quanting"'
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:
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:
Zhao, Quanting, Zheng, Fangyang
In this article, we study Hermitian manifolds whose Bismut-Strominger connection has parallel torsion tensor, which will be called {\em Bismut torsion parallel manifolds,} or {\em BTP} manifolds for short. We obtain a necessary and sufficient conditi
Externí odkaz:
http://arxiv.org/abs/2208.03071
Autor:
Zhao, Quanting, Zheng, Fangyang
Publikováno v:
J. Geom. Anal. 32 (2022), no.4, Paper No. 110, 27pp
In a paper by Angella, Otal, Ugarte, and Villacampa, the authors conjectured that on a compact Hermitian manifold, if a Gauduchon connection other than Chern or Strominger is K\"ahler-like, then the Hermitian metric must be K\"ahler. They also conjec
Externí odkaz:
http://arxiv.org/abs/2108.08181
Publikováno v:
Transformation Groups 28 (2023), no.1, 241-284
Let the pair $(\mathfrak{g},J)$ be a nilpotent Lie algebra $\mathfrak{g}$ (NLA for short) endowed with a nilpotent complex structure $J$. In this paper, motivated by a question in the work of Cordero, Fern\'andez, Gray and Ugarte, we prove that $2\le
Externí odkaz:
http://arxiv.org/abs/2005.13886
Autor:
Rao, Sheng, Zhao, Quanting
Publikováno v:
C. R. Math. Acad. Sci. Paris, Volume 353, Issue 11, November 2015, 979-984
We introduce a canonical isomorphism from the space of pure-type complex differential forms on a compact complex manifold to the one on its infinitesimal deformations. By use of this map, we generalize an extension formula in a recent work of K. Liu,
Externí odkaz:
http://arxiv.org/abs/1909.12711
Publikováno v:
Trans Amer Math Soc, 376 (2023), no.5, 3063-3085
In this paper, we study a special type of compact Hermitian manifolds that are Strominger K\"ahler-like, or SKL for short. This condition means that the Strominger connection (also known as Bismut connection) is K\"ahler-like, in the sense that its c
Externí odkaz:
http://arxiv.org/abs/1908.05322
Autor:
Zhao, Quanting, Zheng, Fangyang
Publikováno v:
J.Geom.Phys. 146 (2019), 103512, 9pp
In this note, we analyze the question of when will a complex nilmanifold have K\"ahler-like Strominger (also known as Bismut), Chern, or Riemannian connection, in the sense that the curvature of the connection obeys all the symmetries of that of a K\
Externí odkaz:
http://arxiv.org/abs/1904.09707
Autor:
Zhao, Quanting, Zheng, Fangyang
Publikováno v:
J. Reine Angew. Math.(Crelles), 796 (2023), 245-267
In this paper, we prove a conjecture raised by Angella, Otal, Ugarte, and Villacampa recently, which states that if the Strominger connection (also known as Bismut connection) of a compact Hermitian manifold is K\"ahler-like, in the sense that its cu
Externí odkaz:
http://arxiv.org/abs/1904.06604
Publikováno v:
Compositio Math. 155 (2019) 455-483
By use of a natural extension map and a power series method, we obtain a local stability theorem for p-K\"ahler structures with the $(p,p+1)$-th mild $\partial\bar\partial$-lemma under small differentiable deformations.
Comment: Several typos ha
Comment: Several typos ha
Externí odkaz:
http://arxiv.org/abs/1801.01031