Compact generalized Hopf and cosymplectic solvmanifolds and the Heisenberg group \(H(n,1)\)

DOI10.1007/BF02760929zbMath0891.53019OpenAlexW1995355248MaRDI QIDQ1380504

Juan Carlos Marrero, Edith Padrón

Publication date: 19 July 1998

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

Full work available at URL: https://doi.org/10.1007/bf02760929

zbMATH Keywords

solvmanifoldcosymplectic manifoldlocally conformal Kähler manifoldgeneralized Hopf manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Nilpotent and solvable Lie groups (22E25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (4)

Hard Lefschetz theorem for Vaisman manifolds ⋮ Bismut connection on Vaisman manifolds ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds

Cites Work

• Principal fibre bundles with the 1-dimensional toroidal group
• Compact locally conformal Kähler nilmanifolds
• Contact manifolds in Riemannian geometry
• On locally conformal almost Kaehler manifolds
• Locally conformal Kähler submersions
• Generalized Hopf manifolds
• Topology of cosymplectic manifolds
• The fundamental equations of a submersion
• The automorphism groups of almost contact Riemannian manifolds
• Introduction to the Geometry of Foliations, Part A
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