QR-Submanifold of a Manifold with a Kenmotsu 3-Structure

Authors

  • Dr. Gajendra Singh University Department of Mathematics, Nilamber-Pitamber University, Medininagar, Jharkhand (India) -
  • Dr. Gajendra Singh University Department of Mathematics, Nilamber-Pitamber University, Medininagar, Jharkhand (India) -

Keywords:

Kenmotsu 3-Structure, QRSubmanifold

Abstract

A. Bejancu (1986) introduced the QR-Submanifold
of a Quaternion Kaehler manifold which is based
on the action of local basis {????1
,????2
,????3
} on each
tangent space of the manifolds where ????1
, ????2
,????3
are almost Hermitian structures.
In this paper we have taken these structure
as a Kenmotsu 3-Structure and studied the
properties of QR-Submanifold which includes the
integrability of the distribution ???? ???????????? ????

.

References

. Bejancu, A.(1986). QR-Submanifold of

Quaternion Kaehlerian manifolds, Chinese

Journal of Mathematics, June, 14, 2, 81 – 94

. Bejancu, A.(1983). “Anti-quaternion

Submanifolds” Lucrarule Conf. Nat,

Geometrie Topologie, P. Neamt, 141 – 144

. Chen B.Y., (1978). Totally umbilical

submanifolds of quternion space form, J.

Astral. Math. Soc. (Series A) 26, 154-162.

. Anti, J.S,(1981). quaternion submanifold of

quternion projective space, Kyungpook Math.

J., 18, 91-115.

. Barrow, M., Chen B.Y. and Urbano F.,(1980),

Quaternion CR-Submanifolds of quaternion

Kaehlerian manifolds Kodai Math. J. , 339-

. Kobayashi, M.(1983) 3 Contact CRSubmanifolds of manifolds with Sasakian 3-

Structure, Tensor, 40, 57 – 68

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Published

2021-08-03

How to Cite

Dr. Gajendra Singh, & Dr. Gajendra Singh. (2021). QR-Submanifold of a Manifold with a Kenmotsu 3-Structure. iJournals:International Journal of Software & Hardware Research in Engineering ISSN:2347-4890, 9(7). Retrieved from https://ijournals.in/journal/index.php/ijshre/article/view/53