Vaisman nilmanifolds

DOI10.1112/blms.12073zbMath1378.53084arXiv1605.02792OpenAlexW2740797524MaRDI QIDQ5371062

Giovanni Bazzoni

Publication date: 24 October 2017

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02792

zbMATH Keywords

Heisenberg groupnilpotent Lie groupnilmanifoldLee formlocally conformal Kähler structureVaisman structuresconjecture Ugarte

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Rational homotopy theory (55P62) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of symmetric spaces (53C35)

Related Items (13)

Twisted Dolbeault cohomology of nilpotent Lie algebras ⋮ Bismut connection on Vaisman manifolds ⋮ On the structure theorem for Vaisman solvmanifolds ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Isometric immersions of locally conformally Kähler manifolds ⋮ Vaisman structures on LCK solvmanifolds ⋮ On locally conformal symplectic manifolds of the first kind ⋮ Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics ⋮ Locally conformally symplectic and Kähler geometry ⋮ Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds ⋮ Examples of solvmanifolds without LCK structures ⋮ Locally conformally Kähler structures on four-dimensional solvable Lie algebras ⋮ Complex structures on nilpotent Lie algebras with one-dimensional center

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