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Rashmi Sachdeva, Rakesh Kumar, and Satvinder Singh Bhatia
Totally umbilical hemi-slant lightlike submanifolds view print
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| Published: |
April 7, 2015 |
| Keywords: |
Indefinite Kaehler manifolds, hemi-slant lightlike submanifolds, totally umbilical lightlike submanifolds, minimal lightlike submanifolds. |
| Subject: |
53C15, 53C40, 53C50 |
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Abstract
We study hemi-slant lightlike submanifolds of indefinite Kaehler manifolds
and prove that there do not exist
totally umbilical hemi-slant lightlike submanifolds in
indefinite Kaehler manifolds other than totally geodesic hemi-slant lightlike submanifolds. We consequently prove that the induced connection of a totally umbilical hemi-slant lightlike submanifold is a metric connection. We obtain a characterization theorem on the nonexistence of totally umbilical
hemi-slant lightlike submanifold of an indefinite complex
space form and some characterization theorems on minimal hemi-slant lightlike submanifolds.
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| Author information
Rashmi Sachdeva:
School of Mathematics and Computer Applications, Thapar University, Patiala, India.
rashmi.sachdeva86@gmail.com
Rakesh Kumar:
Department of Basic and Applied Sciences, Punjabi University, Patiala, India
dr_rk37c@yahoo.co.in
Satvinder Singh Bhatia:
School of Mathematics and Computer Applications, Thapar University, Patiala, India.
ssbhatia@thapar.edu
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