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# Wydawnictwa / Banach Center Publications / Wszystkie tomy

## CR submanifolds of maximal CR dimension in complex manifolds

### Tom 57 / 2002

Banach Center Publications 57 (2002), 89-99 MSC: 53C15, 53C25, 53C40 DOI: 10.4064/bc57-0-6

#### Streszczenie

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.

#### Autorzy

• Mirjana DjorićFaculty of Mathematics
Studentski trg 16, pb 550