Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds

oleh: K. L. Duggal, R. Sharma

Format: Article
Diterbitkan: Wiley 1987-01-01

Deskripsi

We study totally umbilical CR-submanifolds of a Kaehler manifold carrying a semi-Riemannian metric. It is shown that for dimension of the totally real distribution greater than one, these submanifolds are locally decomposable into a complex and a totally real submanifold of the Kaehler manifold. For dimension equal to one, we show, in particular, that they are endowed with a normal contact metric structure if and only if the second fundamental form is parallel.