Full paper in PDF:
$% M. Kobayashi, Contact normal submanifolds and contact generic normal submanifolds in Kenmotsu manifolds, Rev. Mat. Univ. Complut. Madrid 4 (1991), no. 1, 73-95.%$

Contact Normal Submanifolds and Contact Generic Normal Submanifolds in Kenmotsu Manifolds

Minoru KOBAYASHI
Department of Mathematics
Josai University
Sakado, Saitama Japan
 

Received: June 7, 1990
Revised: October 18, 1990
Dedicated to Dr. Shisanji Hokari
on his 80th birthday
ABSTRACT

We study contact normal submanifolds and contact generic normal in Kenmotsu manifolds and in Kenmotsu space forms. Submanifolds mentioned above with certain conditions in forms space Kenmotsu are shown that they CR-manifolds, spaces of constant curvature, locally symmetric and Einsteinnian. Also, the non-existence of totally umbilical submanifolds in a Kenmotsu space form -1 is proven under a certain condition.

1980 Mathematics Subject Classification (1985 revision): 53C40.