CR submanifolds of maximal CR dimension in complex manifolds

Mirjana Djorić, and Masafumi Okumura. "CR submanifolds of maximal CR dimension in complex manifolds." Banach Center Publications 57.1 (2002): 89-99. <http://eudml.org/doc/281804>.

@article{MirjanaDjorić2002,
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.},
author = {Mirjana Djorić, Masafumi Okumura},
journal = {Banach Center Publications},
keywords = {CR submanifolds; holomorphic tangent space; real submanifold; complex space form; Levi form},
language = {eng},
number = {1},
pages = {89-99},
title = {CR submanifolds of maximal CR dimension in complex manifolds},
url = {http://eudml.org/doc/281804},
volume = {57},
year = {2002},
}

TY - JOUR
AU - Mirjana Djorić
AU - Masafumi Okumura
TI - CR submanifolds of maximal CR dimension in complex manifolds
JO - Banach Center Publications
PY - 2002
VL - 57
IS - 1
SP - 89
EP - 99
AB - 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.
LA - eng
KW - CR submanifolds; holomorphic tangent space; real submanifold; complex space form; Levi form
UR - http://eudml.org/doc/281804
ER -