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Left-invariant nearly pseudo-K\"{a}hler structures and the tangent Lie group

Year: 2024

Type: article

Abstract: Let $G$ be a Lie group, and let $(g,J)$ be a left-invariant almost pseudo-Hermitian structure on $G$. It is shown that if $(g,J)$ is also nearly pseudo-K\"{a}hler, then the tangent bundle $TG$ (with its natural Lie group structure induced from $G$) admits a left-invariant nearly pseudo-K\"{a}hler structure.

Source: Publicationes Mathematicae Debrecen

DOI: 10.5486/pmd.2024.9930

Author: David N. Pham

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4403311228

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