Vaisman structures on compact solvmanifolds

DOI10.1007/s10711-015-0062-zzbMath1332.53029OpenAlexW2059840078MaRDI QIDQ744926

Hiroshi Sawai

Publication date: 12 October 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-015-0062-z

zbMATH Keywords

locally conformal Kähler structurefundamental 2-formcompact solvmanifoldsVaisman structures

Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items

On LCK solvmanifolds with a property of Vaisman solvmanifolds ⋮ On the structure theorem for Vaisman solvmanifolds ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Vaisman structures on LCK solvmanifolds ⋮ Structure theorem for Vaisman completely solvable solvmanifolds ⋮ Examples of solvmanifolds without LCK structures ⋮ Locally conformal symplectic structures on Lie algebras of type I and their solvmanifolds

Cites Work

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• Compact locally conformal Kähler nilmanifolds
• Locally conformal Kähler geometry
• On the metric structure of non-Kähler complex surfaces
• Non-Kähler compact complex manifolds associated to number fields.
• Locally conformal Kähler structures on compact solvmanifolds
• A construction of lattices on certain solvable Lie groups
• A note on compact solvmanifolds with Kähler structures
• Locally conformal Kähler structures on compact nilmanifolds with left-invariant complex structures
• A report on locally conformally K\"ahler manifolds
• Kahler Structures on Compact Solvmanifolds
• Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds