Pseudo-Bochner-flat locally conformal Kähler submanifolds

@article{KojiMatsuo2007,
abstract = {Let M̃ be an (m+r)-dimensional locally conformal Kähler (l.c.K.) manifold and let M be an m-dimensional l.c.K. submanifold of M̃ (i.e., a complex submanifold with the induced l.c.K. structure). Assume that both M̃ and M are pseudo-Bochner-flat. We prove that if r < m, then M is totally geodesic (in the Hermitian sense) in M̃. This is the l.c.K. version of Iwatani's result for Bochner-flat Kähler submanifolds.},
author = {Koji Matsuo},
journal = {Colloquium Mathematicae},
keywords = {locally conformally Kähler manifold; pseudo-Bochner-flat},
language = {eng},
number = {2},
pages = {305-315},
title = {Pseudo-Bochner-flat locally conformal Kähler submanifolds},
url = {http://eudml.org/doc/284076},
volume = {108},
year = {2007},
}

TY - JOUR
AU - Koji Matsuo
TI - Pseudo-Bochner-flat locally conformal Kähler submanifolds
JO - Colloquium Mathematicae
PY - 2007
VL - 108
IS - 2
SP - 305
EP - 315
AB - Let M̃ be an (m+r)-dimensional locally conformal Kähler (l.c.K.) manifold and let M be an m-dimensional l.c.K. submanifold of M̃ (i.e., a complex submanifold with the induced l.c.K. structure). Assume that both M̃ and M are pseudo-Bochner-flat. We prove that if r < m, then M is totally geodesic (in the Hermitian sense) in M̃. This is the l.c.K. version of Iwatani's result for Bochner-flat Kähler submanifolds.
LA - eng
KW - locally conformally Kähler manifold; pseudo-Bochner-flat
UR - http://eudml.org/doc/284076
ER -