Hermitian curvature flow on complex homogeneous manifolds

DOI10.2422/2036-2145.201903_011zbMath1476.53119arXiv1706.07023OpenAlexW2963385226MaRDI QIDQ5003292

Yu. M. Ustinovskii

Publication date: 21 July 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07023

zbMATH Keywords

curvature flowHermitian metricscomplex homogeneous spacesHCFsubmersion metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Related Items (2)

Positive Hermitian curvature flow on special linear groups and perfect solitons ⋮ Expanding solitons to the Hermitian curvature flow on complex Lie groups

Cites Work

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• Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds
• The Kähler-Ricci flow through singularities
• Ricci flow on three-dimensional, unimodular metric Lie algebras
• Four-manifolds with positive curvature operator
• Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype
• Homogeneous Hermitian manifolds and special metrics
• Immortal homogeneous Ricci flows
• Ricci flow of homogeneous manifolds
• On the evolution of a Hermitian metric by its Chern-Ricci form
• Special Hermitian metrics on compact solvmanifolds
• Manifolds with positive curvature operators are space forms
• Hermitian curvature flow
• On the Kähler-Ricci flow on projective manifolds of general type
• Multiplier ideal sheaves and the Kähler-Ricci flow
• Homogeneous solutions of pluriclosed flow on closed complex surfaces
• Lie-algebraic curvature conditions preserved by the Hermitian curvature flow
• A Lie algebraic approach to Ricci flow invariant curvature conditions and Harnack inequalities
• Invariant Kähler metrics and projective embeddings of the flag manifold
• The Hermitian curvature flow on manifolds with non-negative Griffiths curvature
• An Addition to Ado's Theorem
• Introduction to Lie Algebras and Representation Theory

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