On Strominger Space Forms

On Strominger Space Forms

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 must be Kähler. The main result of this article is to confirm the conjecture in dimension 2. We also ver...

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Veröffentlicht in:The Journal of Geometric Analysis 2022-04, Vol.32 (4), Article 141
Hauptverfasser: Chen, Shuwen, Zheng, Fangyang
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
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Zheng, Fangyang
description 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 must be Kähler. The main result of this article is to confirm the conjecture in dimension 2. We also verify the conjecture in higher dimensions in a couple of special situations.
doi_str_mv 10.1007/s12220-022-00882-7
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subjects Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
title On Strominger Space Forms
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