Structure theorem for Vaisman completely solvable solvmanifolds

DOI10.1016/J.GEOMPHYS.2017.01.002zbMath1358.53076OpenAlexW2576470253MaRDI QIDQ512124

Hiroshi Sawai

Publication date: 23 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2017.01.002

zbMATH Keywords

solvmanifoldVaisman manifoldlocally conformal Kähler manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Solvable, nilpotent (super)algebras (17B30)

Related Items (6)

On the structure theorem for Vaisman solvmanifolds ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Vaisman structures on LCK solvmanifolds ⋮ Unimodular Sasaki and Vaisman Lie groups ⋮ Examples of solvmanifolds without LCK structures ⋮ HOMOGENEOUS SASAKI AND VAISMAN MANIFOLDS OF UNIMODULAR LIE GROUPS

Cites Work

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• Locally conformal Kähler structures on compact solvmanifolds
• A note on compact solvmanifolds with Kähler structures
• Locally conformal Kähler structures on compact nilmanifolds with left-invariant complex structures
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups

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