Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold
Mathematica Bohemica (2024)
- Volume: 149, Issue: 4, page 603-613
- ISSN: 0862-7959
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topKarmakar, Payel. "Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold." Mathematica Bohemica 149.4 (2024): 603-613. <http://eudml.org/doc/299630>.
@article{Karmakar2024,
abstract = {We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold. We prove a characterization theorem of totally contact umbilical screen-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We further prove some results on a totally contact umbilical radical screen-transversal lightlike submanifold of an indefinite Kenmotsu manifold, such as the necessary and sufficient conditions for the screen distribution $S(TM)$ to be integrable and for the induced connection $\nabla $ to be a metric connection.},
author = {Karmakar, Payel},
journal = {Mathematica Bohemica},
keywords = {indefinite Kenmotsu manifold; lightlike submanifold; totally contact umbilical screen-slant lightlike submanifold; totally contact umbilical radical screen-transversal lightlike submanifold},
language = {eng},
number = {4},
pages = {603-613},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold},
url = {http://eudml.org/doc/299630},
volume = {149},
year = {2024},
}
TY - JOUR
AU - Karmakar, Payel
TI - Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold
JO - Mathematica Bohemica
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 149
IS - 4
SP - 603
EP - 613
AB - We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold. We prove a characterization theorem of totally contact umbilical screen-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We further prove some results on a totally contact umbilical radical screen-transversal lightlike submanifold of an indefinite Kenmotsu manifold, such as the necessary and sufficient conditions for the screen distribution $S(TM)$ to be integrable and for the induced connection $\nabla $ to be a metric connection.
LA - eng
KW - indefinite Kenmotsu manifold; lightlike submanifold; totally contact umbilical screen-slant lightlike submanifold; totally contact umbilical radical screen-transversal lightlike submanifold
UR - http://eudml.org/doc/299630
ER -
References
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