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. We prove an approximation result for noncompact eta-Einstein manifolds via immersions in the infinitedimensional sphere and complement this with several examples.

Approximation of regular Sasakian manifolds

Placini, Giovanni
2023-01-01

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. We prove an approximation result for noncompact eta-Einstein manifolds via immersions in the infinitedimensional sphere and complement this with several examples.
2023
Sasakian structure approximation; CR immersions; eta-Einstein manifolds; Bergman kernel
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/398383
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