Geometry of cotangent bundle of Heisenberg group

نویسندگان

چکیده

In this paper, the classification of left invariant Riemannian metrics on cotangent bundle (2n+1)-dimensional Heisenberg group up to action automorphism is presented. Moreover, it proved that complex structure unique, and corresponding pseudo-Kähler are described shown be Ricci flat. It known algebra admits an ad-invariant metric neutral signature. Here, uniqueness such proved.

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ژورنال

عنوان ژورنال: Differential Geometry and Its Applications

سال: 2023

ISSN: ['1872-6984', '0926-2245']

DOI: https://doi.org/10.1016/j.difgeo.2023.101997