IOSR Journal of Engineering
e-ISSN: 2250-3021, p-ISSN: 2278-8719, www.
iosrphr.
org
Vol.
2, Issue 12 (Dec.
2012), ||V1|| PP 41-44
www.
iosrjen.
org 41 | P a g e
On contact slant submanifolds in Kenmotsu space forms
Pradeep Kumar Pandey...
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IOSR Journal of Engineering
e-ISSN: 2250-3021, p-ISSN: 2278-8719, www.
iosrphr.
org
Vol.
2, Issue 12 (Dec.
2012), ||V1|| PP 41-44
www.
iosrjen.
org 41 | P a g e
On contact slant submanifolds in Kenmotsu space forms
Pradeep Kumar Pandey
Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Himachal173234
Abstract : In this paper a sharp estimate of the maximum Ricci curvature function for a special contact
slant submanifold M in a Kenmotsu space form )
(c
M , in terms of the main extrinsic invariant namely
the squared mean curvature has been obtained.
If submanifold M satisfies the equality case identically,
then it is minimal.
Mathematics Subject Classification 2000: 53C40, 53B25, 53D15.
Keywords: Contact slant submanifold, Kenmotsu space form, Mean curvature, Ricci curvature.
I.
INTRODUCTION
The study of slant submanifold of an almost Hermitian manifold was started by B.
Y.
Chen ([1], [2]).
Further Chen and T
Less
