On LCK solvmanifolds with a property of Vaisman solvmanifolds

DOI10.1515/COMA-2021-0135zbMath1498.53095OpenAlexW4285234168MaRDI QIDQ2162677

Hiroshi Sawai

Publication date: 8 August 2022

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/coma-2021-0135

zbMATH Keywords

solvmanifoldlocally conformal Kähler structureInoue surface

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Solvable, nilpotent (super)algebras (17B30)

Cites Work

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• Generalized Hopf manifolds
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• A construction of lattices on certain solvable Lie groups
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• Locally conformal Kähler structures on compact nilmanifolds with left-invariant complex structures
• On the structure theorem for Vaisman solvmanifolds
• Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds
• HOMOGENEOUS SASAKI AND VAISMAN MANIFOLDS OF UNIMODULAR LIE GROUPS
• Note on locally conformal Kähler surfaces

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