Strominger connection and pluriclosed metrics
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 … 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 …
Strominger connection and pluriclosed metrics
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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. 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...
Webconnection with totally skew-symmetric torsion, given by the 3-form T. ... Hull-Strominger system in six dimensions ([39, 54, 46]). ... other Hermitian flows (see for example [6] for the case of the pluriclosed flow for SKT metrics). On the vector space R2n, fix the complex structure J 0 given by J WebSep 27, 2008 · Strominger connection and pluriclosed metrics Quanting Zhao, F. Zheng Mathematics Journal für die reine und angewandte Mathematik (Crelles Journal) 2024 …
WebIn 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 … WebApr 13, 2024 · Bismut connection and pluriclosed metrics Authors: Quanting Zhao Fangyang Zheng Chongqing Normal University Preprints and early-stage research may not have been peer reviewed yet. Abstract
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WebMar 1, 2024 · Strominger connection and pluriclosed metrics 1 Mar 2024Journal für die reine und angewandte Mathematik (Crelles Journal)2024(796):245-267De Gruyter Co-authors Zhao Q, Zheng F 10.1515/crelle-2024-0007 JOURNAL ARTICLE Examples of Complete Kähler Metrics with Nonnegative Holomorphic Sectional Curvature circleware milk bottlesWebApr 7, 2024 · Abstract We show that the existence of a left-invariant pluriclosed Hermitian metric on a unimodular Lie group with a left-invariant abelian complex structure forces the … diamond blade for sawzallWebApr 7, 2024 · This is a parabolic flow of Hermitian metrics which preserves the pluriclosed condition [26, 27]. A natural question is to see if the Strominger Kähler–like condition is preserved by the flow. circleware kitchen buffetWebIn this article, we restrict ourselves to pluriclosed manifolds, and confirm the conjecture for the special case of Strominger Kähler-like manifolds, namely, for Hermitian manifolds … circleware kitchenWebApr 13, 2024 · 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 … circleware moonlight wine glassesWebMay 9, 2024 · In this paper, two explicit formulas on these two scalar curvatures are obtained in terms of the Riemannian scalar curvature, norms of the components of the covariant derivative of the fundamental 2-form with respect to the Levi-Civita connection, and the codifferential of the Lee form. diamond blade knives reviewsWebApr 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 circleware ny