Sasakian geometry and Heisenberg groups
Differential Geometry
2023-10-20 v1
Abstract
We prove that a compact Sasakian manifolds whose first and second basic Chern classes vanish is locally isomorphic to the real Heisenberg group equipped with the standard left invariant Sasakian structure up to deformation associated to a basic -from.
Keywords
Cite
@article{arxiv.2310.12588,
title = {Sasakian geometry and Heisenberg groups},
author = {Indranil Biswas and Hisashi Kasuya},
journal= {arXiv preprint arXiv:2310.12588},
year = {2023}
}
Comments
7 pages. arXiv admin note: text overlap with arXiv:2211.16713