Geometry of cotangent bundle of Heisenberg group

DOI10.1016/j.difgeo.2023.101997arXiv2203.15385OpenAlexW4353031941MaRDI QIDQ6040644

Srdjan Vukmirović, Tijana Šukilović

Publication date: 19 May 2023

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.15385

zbMATH Keywords

Heisenberg groupcotangent bundleleft invariant metricspseudo-Kähler metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Nilpotent and solvable Lie groups (22E25)

Cites Work

• Milnor-type theorems for left-invariant Riemannian metrics on Lie groups
• Invariant complex structures on tangent and cotangent Lie groups of dimension six
• The space of left-invariant metrics on a Lie group up to isometry and scaling
• Kähler and symplectic structures on nilmanifolds
• Curvatures of left invariant metrics on Lie groups
• Homogeneous nilmanifolds of dimensions 3 and 4
• Classification of left-invariant metrics on the Heisenberg group
• Lorentz geometry of 4-dimensional nilpotent Lie groups
• Isometry Groups of Riemannian Solvmanifolds
• HOMOGENEOUS RIEMANNIAN SPACES OF NEGATIVE CURVATURE
• Geometry of $2$-step nilpotent groups with a left invariant metric
• Symplectic manifolds with no Kähler structure
• Complex structures on nilpotent Lie algebras
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