Geodesic
Contact CR-submanifolds with parallel mean curvature vector of a Sasakian space form
Colloquium Mathematicum, Tome 64 (1993) no. 2, pp. 173-184.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The purpose of this paper is to study contact CR-submanifolds with nonvanishing parallel mean curvature vector immersed in a Sasakian space form. In §1 we state general formulas on contact CR-submanifolds of a Sasakian manifold, especially those of a Sasakian space form. §2 is devoted to the study of contact CR-submanifolds with nonvanishing parallel mean curvature vector and parallel f-structure in the normal bundle immersed in a Sasakian space form. Moreover, we suppose that the second fundamental form of a contact CR-submanifold commutes with the f-structure in the tangent bundle, and compute the restricted Laplacian for the second fundamental form in the direction of the mean curvature vector. As applications of this, in §3, we prove our main theorems.
DOI : 10.4064/cm-64-2-173-184

U-Hang Ki 1 ; Masahiro Kon 1

1 
@article{10_4064_cm_64_2_173_184,
     author = {U-Hang Ki and Masahiro Kon},
     title = {Contact {CR-submanifolds} with parallel mean curvature vector of a {Sasakian} space form},
     journal = {Colloquium Mathematicum},
     pages = {173--184},
     publisher = {mathdoc},
     volume = {64},
     number = {2},
     year = {1993},
     doi = {10.4064/cm-64-2-173-184},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-64-2-173-184/}
}
TY  - JOUR
AU  - U-Hang Ki
AU  - Masahiro Kon
TI  - Contact CR-submanifolds with parallel mean curvature vector of a Sasakian space form
JO  - Colloquium Mathematicum
PY  - 1993
SP  - 173
EP  - 184
VL  - 64
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-64-2-173-184/
DO  - 10.4064/cm-64-2-173-184
LA  - en
ID  - 10_4064_cm_64_2_173_184
ER  - 
%0 Journal Article
%A U-Hang Ki
%A Masahiro Kon
%T Contact CR-submanifolds with parallel mean curvature vector of a Sasakian space form
%J Colloquium Mathematicum
%D 1993
%P 173-184
%V 64
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-64-2-173-184/
%R 10.4064/cm-64-2-173-184
%G en
%F 10_4064_cm_64_2_173_184
U-Hang Ki; Masahiro Kon. Contact CR-submanifolds with parallel mean curvature vector of a Sasakian space form. Colloquium Mathematicum, Tome 64 (1993) no. 2, pp. 173-184. doi : 10.4064/cm-64-2-173-184. http://geodesic.mathdoc.fr/articles/10.4064/cm-64-2-173-184/

Cité par Sources :