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arXiv · 2408.13835

CR structures, k-contact structures, and generalized Sasakian structures

Janet Talvacchia
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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.

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Janet Talvacchia. 2024-08-25. CR structures, k-contact structures, and generalized Sasakian structures. https://arxiv.org/abs/2408.13835

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