On the curvature of the Bismut connection: Bismut-Yamabe problem and Calabi-Yau with torsion metrics

DOI10.1007/s12220-023-01203-2OpenAlexW4322625408MaRDI QIDQ2690655

Giuseppe Barbaro

Publication date: 17 March 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.06159

zbMATH Keywords

Bismut Ricci curvatureBismut scalar curvatureCalabi-Yau with torsion structuresGauduchon-Yamabe problem

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25) Local differential geometry of Hermitian and Kählerian structures (53B35) Homogeneous complex manifolds (32M10) Complex manifolds (32Q99)

Related Items (2)

On the Gauduchon curvature of Hermitian manifolds ⋮ Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds

Cites Work

• Unnamed Item
• Generalized Kähler geometry and the pluriclosed flow
• Geometry of compact complex homogeneous spaces with vanishing first Chern class
• La 1-forme de torsion d'une variété hermitienne compacte
• Homogeneous Hermitian manifolds and special metrics
• On the Chern-Yamabe problem
• Griffiths positivity for Bismut curvature and its behaviour along Hermitian curvature flows
• Hodge theory of SKT manifolds
• Integrability theorems and conformally constant Chern scalar curvature metrics in almost Hermitian geometry
• Hermitian metrics of constant Chern scalar curvature on ruled surfaces
• Classification of solitons for pluriclosed flow on complex surfaces
• A Monge-Ampère-type equation motivated by string theory
• Calabi-Yau connections with torsion on toric bundles
• Hermitian curvature flow
• The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
• Vanishing theorems and string backgrounds
• Pluriclosed Flow and the Geometrization of Complex Surfaces
• Generalized Ricci Flow
• A Parabolic Flow of Pluriclosed Metrics
• Remarks on Kähler-Einstein Manifolds
• Closed Manifolds with Homogeneous Complex Structure
• Kählerian Coset Spaces of Semisimple Lie Groups

This page was built for publication: On the curvature of the Bismut connection: Bismut-Yamabe problem and Calabi-Yau with torsion metrics