QR-Submanifold of a Manifold with a Kenmotsu 3-Structure
Keywords:
Kenmotsu 3-Structure, QRSubmanifoldAbstract
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