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arXiv · 2306.16167

Approximation of Regular Sasakian Manifolds

Giovanni Placini
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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. Moreover, we prove an approximation result for non-compact $\eta$-Einstein manifolds via immersions in the infinite dimensional sphere. We complement this with several examples.

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Giovanni Placini. 2023-06-28. Approximation of Regular Sasakian Manifolds. https://doi.org/10.2140/pjm.2023.327.167

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