Expanding solitons to the Hermitian curvature flow on complex Lie groups

DOI10.1016/J.DIFGEO.2019.03.001zbMath1417.53034arXiv1810.05063OpenAlexW3101138810WikidataQ115354977 ScholiaQ115354977MaRDI QIDQ2423725

Mattia Pujia

Publication date: 20 June 2019

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05063

zbMATH Keywords

expanding solitonscomplex Lie groupsHermitian curvature flow

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other connections (53B15)

Related Items (7)

The Search for Solitons on Homogeneous Spaces ⋮ Positive Hermitian curvature flow on special linear groups and perfect solitons ⋮ Hermitian curvature flow on complex locally homogeneous surfaces ⋮ The anomaly flow on nilmanifolds ⋮ The Hull-Strominger system and the anomaly flow on a class of solvmanifolds ⋮ Positive Hermitian curvature flow on nilpotent and almost-abelian complex Lie groups ⋮ Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups

Cites Work

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• Hermitian curvature flow
• Einstein manifolds
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• Structure of homogeneous Ricci solitons and the Alekseevskii conjecture
• Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds
• Ricci soliton solvmanifolds
• A Parabolic Flow of Pluriclosed Metrics
• Hermitian curvature flow on complex homogeneous manifolds
• Hermitian curvature flow on unimodular Lie groups and static invariant metrics
• Geometric flows and their solitons on homogeneous spaces
• The Hermitian curvature flow on manifolds with non-negative Griffiths curvature
• The long‐time behavior of the homogeneous pluriclosed flow

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