Approximation of Regular Sasakian Manifolds
Differential Geometry
2024-02-21 v1
Abstract
We investigate the problem of approximating a regular Sasakian structure by CR immersions in a standard sphere. Namely, we show that this is always possible for compact Sasakian manifolds. Moreover, we prove an approximation result for non-compact -Einstein manifolds via immersions in the infinite dimensional sphere. We complement this with several examples.
Cite
@article{arxiv.2306.16167,
title = {Approximation of Regular Sasakian Manifolds},
author = {Giovanni Placini},
journal= {arXiv preprint arXiv:2306.16167},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2305.05509, arXiv:2210.00790