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arXiv · 2305.05509

Immersions into Sasakian space forms

Andrea Loi·Giovanni Placini·Michela Zedda
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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.

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Andrea Loi, Giovanni Placini, Michela Zedda. 2023-05-09. Immersions into Sasakian space forms. https://doi.org/10.1007/s00209-024-03529-1

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