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Quasi Bi-Slant
Submanifolds of
Nearly Kaehler
Manifolds
Rajendra Prasad (1) and Shweta Singh (2)
(1) Department
of Mathematics
and Astronomy,
University of
Lucknow,
Lucknow-226007,
India
Email address:
rp.manpur@rediffmail.com
(2) Department of
Mathematics and
Astronomy,
University of
Lucknow,
Lucknow-226007,
India
Email address:
singhshweta037@gmail.com
Doi :
https://doi.org/10.47013/15.4.20
Cited by :
Jordan J. Math &
Stat.,
15 (4B) (2022),
1093 - 1110
PDF
Received on:
Oct. 27,
2021;
Accepted
on: April 28,
2022
Abstract. We introduce
the notion of
quasi bi-slant
submanifolds of
nearly Kaehler
manifolds and
study some of
thier
properties. The
necessary and
sufficient
conditions for
the
integrability of
distributions,
involved in the
definition of
quasi bi-slant
submanifolds of
nearly Kaehler
manifolds, are
obtained. We
also investigate
the necessary
and sufficient
conditions for
quasi bi-slant
submanifolds of
nearly Kaehler
manifolds to be
totally
geodesic, and we
study the
geometry of
foliations.
Finally, we
construct some
non-trivial
examples of
quasi bi-slant
manifolds of
nearly Kaehler
manifolds.
Keywords: Nearly Kaehler
manifolds, Quasi
bi-slant
submanifold,
Totally geodesic
submanifolds,
Totally
umbilical
submanifolds.
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