Minimal submanifolds in ${ℝ}^4$ with a g.c.K. structure

Munteanu, Marian-Ioan. "Minimal submanifolds in $\mathbb {R}^4$ with a g.c.K. structure." Czechoslovak Mathematical Journal 58.1 (2008): 61-78. <http://eudml.org/doc/31199>.

@article{Munteanu2008,
abstract = {In this paper we obtain all invariant, anti-invariant and $CR$ submanifolds in $(\{\mathbb \{R\}\}^4,g,J)$ endowed with a globally conformal Kähler structure which are minimal and tangent or normal to the Lee vector field of the g.c.K. structure.},
author = {Munteanu, Marian-Ioan},
journal = {Czechoslovak Mathematical Journal},
keywords = {locally conformal Kähler structure; minimal submanifolds; invariant submanifolds; totally real submanifolds; $CR$-submanifolds; locally conformal Kähler structure; invariant submanifolds; totally real submanifolds; -submanifolds},
language = {eng},
number = {1},
pages = {61-78},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Minimal submanifolds in $\mathbb \{R\}^4$ with a g.c.K. structure},
url = {http://eudml.org/doc/31199},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Munteanu, Marian-Ioan
TI - Minimal submanifolds in $\mathbb {R}^4$ with a g.c.K. structure
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 1
SP - 61
EP - 78
AB - In this paper we obtain all invariant, anti-invariant and $CR$ submanifolds in $({\mathbb {R}}^4,g,J)$ endowed with a globally conformal Kähler structure which are minimal and tangent or normal to the Lee vector field of the g.c.K. structure.
LA - eng
KW - locally conformal Kähler structure; minimal submanifolds; invariant submanifolds; totally real submanifolds; $CR$-submanifolds; locally conformal Kähler structure; invariant submanifolds; totally real submanifolds; -submanifolds
UR - http://eudml.org/doc/31199
ER -