Author:
Loi A.,Placini G.,Zedda M.
Abstract
AbstractWe 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.
Funder
Università degli Studi di Cagliari
Publisher
Springer Science and Business Media LLC
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