The long‐time behavior of the homogeneous pluriclosed flow

DOI10.1112/plms.12228zbMath1420.53072arXiv1712.02075OpenAlexW3104766208WikidataQ128461948 ScholiaQ128461948MaRDI QIDQ5229332

Romina M. Arroyo, Ramiro A. Lafuente

Publication date: 14 August 2019

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02075

zbMATH Keywords

2-step nilpotent Lie groupsalmost-abelian Lie groupsleft-invariant Hermitian structuressolutions with finite extinction time

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Nilpotent and solvable Lie groups (22E25)

Related Items (27)

Generalized Ricci flow on nilpotent Lie groups ⋮ The Search for Solitons on Homogeneous Spaces ⋮ Positive Hermitian curvature flow on special linear groups and perfect solitons ⋮ Hermitian structures on a class of almost nilpotent solvmanifolds ⋮ Hermitian curvature flow on complex locally homogeneous surfaces ⋮ Hermitian curvature flow on compact homogeneous spaces ⋮ SKT structures on nilmanifolds ⋮ Two-step solvable SKT shears ⋮ Balanced Hermitian structures on almost abelian Lie algebras ⋮ Pluriclosed and Strominger Kähler–like metrics compatible with abelian complex structures ⋮ Expanding solitons to the Hermitian curvature flow on complex Lie groups ⋮ Hermitian geometry of Lie algebras with abelian ideals of codimension 2 ⋮ Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds ⋮ Locally conformal SKT almost abelian Lie algebras ⋮ Non-Kähler Calabi-Yau geometry and pluriclosed flow ⋮ Hermitian curvature flow on unimodular Lie groups and static invariant metrics ⋮ On the pluriclosed flow on Oeljeklaus–Toma manifolds ⋮ A remark on the Bismut-Ricci form on 2-step nilmanifolds ⋮ The anomaly flow on nilmanifolds ⋮ The Hull-Strominger system and the anomaly flow on a class of solvmanifolds ⋮ Some remarks on Hermitian manifolds satisfying Kähler-like conditions ⋮ Generalized Kähler almost abelian Lie groups ⋮ Positive Hermitian curvature flow on nilpotent and almost-abelian complex Lie groups ⋮ Locally conformally balanced metrics on almost abelian Lie algebras ⋮ Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups ⋮ On the Hermitian structures of the sequence of tangent bundles of an affine manifold endowed with a Riemannian metric ⋮ Locally conformal SKT structures

This page was built for publication: The long‐time behavior of the homogeneous pluriclosed flow