Immersions into Sasakian space forms
Differential Geometry
2024-06-27 v1
Abstract
We study immersions of Sasakian manifolds into finite and infinite dimensional Sasakian space forms. After proving Calabi's rigidity results in the Sasakian setting, we characterise all homogeneous Sasakian manifolds which admit a (local) Sasakian immersion into a nonelliptic Sasakian space form. Moreover, we give a characterisation of homogeneous Sasakian manifolds which can be embedded into the standard sphere both in the compact and noncompact case.
Cite
@article{arxiv.2305.05509,
title = {Immersions into Sasakian space forms},
author = {Andrea Loi and Giovanni Placini and Michela Zedda},
journal= {arXiv preprint arXiv:2305.05509},
year = {2024}
}