Semi-parallel CR submanifolds in a complex space form

Mayuko Kon. "Semi-parallel CR submanifolds in a complex space form." Colloquium Mathematicae 124.2 (2011): 237-246. <http://eudml.org/doc/283638>.

@article{MayukoKon2011,
abstract = {We show that there is no proper CR submanifold with semi-flat normal connection and semi-parallel second fundamental form in a complex space form with non-zero constant holomorphic sectional curvature such that the dimension of the holomorphic tangent space is greater than 2.},
author = {Mayuko Kon},
journal = {Colloquium Mathematicae},
keywords = {CR submanifold; complex space form; semi-parallel second fundamental form; recurrent second fundamental form},
language = {eng},
number = {2},
pages = {237-246},
title = {Semi-parallel CR submanifolds in a complex space form},
url = {http://eudml.org/doc/283638},
volume = {124},
year = {2011},
}

TY - JOUR
AU - Mayuko Kon
TI - Semi-parallel CR submanifolds in a complex space form
JO - Colloquium Mathematicae
PY - 2011
VL - 124
IS - 2
SP - 237
EP - 246
AB - We show that there is no proper CR submanifold with semi-flat normal connection and semi-parallel second fundamental form in a complex space form with non-zero constant holomorphic sectional curvature such that the dimension of the holomorphic tangent space is greater than 2.
LA - eng
KW - CR submanifold; complex space form; semi-parallel second fundamental form; recurrent second fundamental form
UR - http://eudml.org/doc/283638
ER -