CR submanifolds of maximal CR dimension in complex manifolds
Volume 57 / 2002
Banach Center Publications 57 (2002), 89-99
MSC: 53C15, 53C25, 53C40
DOI: 10.4064/bc57-0-6
Abstract
The aim of this paper is to investigate $n$-dimensional real submanifolds of complex manifolds in the case when the maximal holomorphic tangent space is ($n-1$)-dimensional. In particular, we give some examples and we consider the Levi form on these submanifolds, especially when the ambient space is a complex space form. Moreover, we show that on some remarkable class of real hypersurfaces of complex space forms, the Levi form cannot vanish identically.
