Locally conformal Kähler structures on compact solvmanifolds

zbMath1275.53066MaRDI QIDQ1951963

Hiroshi Sawai

Publication date: 24 May 2013

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1355926888

zbMATH Keywords

Sasakian manifoldLee formfundamental 2-formgeneralized Hopf surfaceprincipal \(S^1\)-bundle

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) Solvable, nilpotent (super)algebras (17B30)

Related Items (14)

Locally conformal Kähler structures on compact nilmanifolds with left-invariant complex structures ⋮ Morse-Novikov cohomology of locally conformally Kähler surfaces ⋮ On LCK solvmanifolds with a property of Vaisman solvmanifolds ⋮ On the structure theorem for Vaisman solvmanifolds ⋮ Construction of lattices of solvable Lie groups from a viewpoint of matrices ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Locally conformally Kähler structures on unimodular Lie groups ⋮ Vaisman structures on LCK solvmanifolds ⋮ Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures ⋮ Structure theorem for Vaisman completely solvable solvmanifolds ⋮ Example of a six-dimensional LCK solvmanifold ⋮ Examples of solvmanifolds without LCK structures ⋮ Conformal Killing 2-forms on four-dimensional manifolds ⋮ Vaisman structures on compact solvmanifolds

Cites Work

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• Complex and Kähler structures on compact solvmanifolds
• Compact locally conformal Kähler nilmanifolds
• Locally conformal Kähler geometry
• On the metric structure of non-Kähler complex surfaces
• On surfaces of class VII\(_0\)
• 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
• Kahler Structures on Compact Solvmanifolds
• Solvable fundamental groups of algebraic varieties and K\"ahler manifolds
• Complex Parallisable Manifolds
• Note on locally conformal Kähler surfaces

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