CR submanifolds of a Kaehler manifold. II

Bejancu, Aurel

doi:10.1090/S0002-9947-1979-0530059-6

CR submanifolds of a Kaehler manifold. II
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by Aurel Bejancu

Trans. Amer. Math. Soc. 250 (1979), 333-345

DOI: https://doi.org/10.1090/S0002-9947-1979-0530059-6

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Abstract:

The differential geometry of CR submanifolds of a Kaehler manifold is studied. Theorems on parallel normal sections and on a special type of flatness of the normal connection on a CR submanifold are obtained. Also, the nonexistence of totally umbilical proper CR submanifolds in an elliptic or hyperbolic complex space is proven.

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Varietá di Cauchy-Riemann

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