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arXiv · 2109.13039

CR relatives Kaehler manifolds

Stefano Marini·Michela Zedda
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Abstract

In this paper we show that two K\"ahler manifolds which do not share a K\"ahler submanifold, do not share either a Levi degenerate CR-submanifold with constant dimension Levi kernel. In particular, they do not share a CR-product. Further, we obtain that a Levi degenerate CR-submanifold of $\mathbb C^n$ cannot be isometrically immersed into a flag manifold.

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Stefano Marini, Michela Zedda. 2021-09-27. CR relatives Kaehler manifolds. https://arxiv.org/abs/2109.13039

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