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pro vyhledávání: '"53C55, 53C05"'
Autor:
Ni, Lei, Zheng, Fangyang
Publikováno v:
Trans Amer Math Soc, 376 (2023), no.9, 6681-6701
We consider the class of compact Hermitian manifolds whose Chern connection is Ambrose-Singer, namely, it has parallel torsion and curvature. We prove structure theorems for such manifolds.
Externí odkaz:
http://arxiv.org/abs/2208.10040
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
In this paper, we construct metallic K\"ahler and nearly metallic K\"ahler structures on Riemanian manifolds. For such manifolds with these structures, we study curvature properties. Also we describe linear connections on the manifold, which preserve
Externí odkaz:
http://arxiv.org/abs/1907.00726
Autor:
Quanting Zhao, Fangyang Zheng
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 Kähler-like, then the Hermitian metric must be Kähler. They also conjectu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef49d2df0018881a53b8913ee2cc86d9