WebJan 1, 2010 · In this article, we propose the following conjecture: if the Strominger connection of a compact Hermitian manifold has constant non-zero holomorphic sectional curvature, then the Hermitian... WebDec 9, 2024 · Strominger connection and pluriclosed metrics. Quanting Zhao, Fangyang Zheng. Page range: 245-267 More Cite this Download PDF. Abstract. 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 …
arXiv:2011.09992v3 [math.DG] 13 Jul 2024
WebWe study Hermitian metrics with a Gauduchon connection being ”Kähler-like”, namely, satisfying the same symmetries for curvature as the Levi Civita and Chern connections. In particular, we investigate 6-dimensional solvmanifolds with invariant complex structures with trivial canonical bundle and with invariant Hermitian metrics. The results for this … WebApr 13, 2024 · 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 Kähler-like, in the sense that its curvature tensor obeys all the symmetries of the curvature of a Kähler manifold, then the metric … sfda school calendar
(PDF) Bismut connection and pluriclosed metrics
WebApr 3, 2024 · In this article, we propose the following conjecture: if the Strominger connection of a compact Hermitian manifold has constant non-zero holomorphic sectional curvature, then the Hermitian metric… 3 PDF Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature Haojie Chen, X. Nie Mathematics WebFeb 1, 2024 · 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 … WebDec 1, 2024 · Also, it was conjectured by Angella, Otal, Ugarte, and Villacampa [1] and proved recently by the authors [17] that any Strominger Kähler-like manifold is pluriclosed (also known as SKT, or Strong Kähler with torsion). However, a full classification of such manifolds seems to be still far away. the uk atomic energy authority