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.
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