CR structures, k-contact structures, and generalized Sasakian structures
Differential Geometry
2024-08-27 v1
Abstract
In previous work (arXiv:2205.12067), we defined a notion of a generalized Sasakian structure in the context of generalized contact geometry, the odd dimensional analogue of generalized complex geometry introduced by Hitchin and Gualtieri. We show here that k-contact manifolds are generalized Sasakian if and only if they are classically Sasakian. We show also that strictly pseudo-convex CR manifolds are always generalized Sasakian.
Keywords
Cite
@article{arxiv.2408.13835,
title = {CR structures, k-contact structures, and generalized Sasakian structures},
author = {Janet Talvacchia},
journal= {arXiv preprint arXiv:2408.13835},
year = {2024}
}