Approximation of Regular Sasakian Manifolds

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.

arXiv admin note: substantial text overlap with arXiv:2305.05509, arXiv:2210.00790

References in corpus (1)

• Bergman kernels on punctured Riemann surfaces

Cited by in corpus (1)

• Any Sasakian structure is approximated by embeddings into spheres