Bismut Ricci flat generalized metrics on compact homogeneous spaces

DOI10.1090/tran/9013zbMath1526.53053arXiv2301.02335OpenAlexW4385300845WikidataQ125933206 ScholiaQ125933206MaRDI QIDQ6047160

Cynthia E. Will, Jorge Lauret

Publication date: 7 September 2023

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.02335

zbMATH Keywords

Bismut connectionBismut Ricci flat metricshomogeneous generalized geometry

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Ricci flows (53E20)

Cites Work

• Generalized geometry, \(T\)-duality, and renormalization group flow
• Regularity and expanding entropy for connection Ricci flow
• A note on flat metric connections with antisymmetric torsion
• Coindex and rigidity of Einstein metrics on homogeneous Gray manifolds
• The stability of standard homogeneous Einstein manifolds
• The Lie group of automorphisms of a Courant algebroid and the moduli space of generalized metrics
• Ricci flow, Killing spinors, and T-duality in generalized geometry
• Einstein manifolds
• On the stability of homogeneous Einstein manifolds
• Harmonic 3-forms on compact homogeneous spaces
• Generalized Ricci Flow
• On normal homogeneous Einstein manifolds
• Naturally reductive metrics and Einstein metrics on compact Lie groups
• Bismut Ricci flat manifolds with symmetries
• The stability of generalized Ricci solitons

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