Sasakian geometry and Heisenberg groups

Indranil Biswas, Hisashi Kasuya

Published 2023-10-19Version 1

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 $1$-from.