Study on Semi-symmetric Para Kenmotsu Manifolds

The present paper deals with invariant submanifolds of CR-integrable almost Kenmotsu manifolds. Among others it is proved that every invariant submanifold of a CR-integrable (k,?)'-almost Kenmotsu manifold with k < -1 is totally geodesic. Finally, we construct an example of an invariant submanifold of a CR-integrable (k,?)'-almost Kenmotsu manifold which is totally geodesic.

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Pointwise pseudo-slant submanifolds of a Kenmotsu manifold

Filomat ◽

10.2298/fil1718833k ◽

2017 ◽

Vol 31 (18) ◽

pp. 5833-5853 ◽

Cited By ~ 1

Author(s):

Viqar Khan ◽

Mohammad Shuaib

Keyword(s):

Present Article ◽

Warped Product ◽

Shape Operator ◽

Warped Products ◽

Canonical Structure ◽

Slant Submanifold ◽

Kenmotsu Manifold ◽

Slant Submanifolds ◽

Kenmotsu Manifolds

In the present article, we have investigated pointwise pseudo-slant submanifolds of Kenmotsu manifolds and have sought conditions under which these submanifolds are warped products. To this end first, it is shown that these submanifolds can not be expressed as non-trivial doubly warped product submanifolds. However, as there exist non-trivial (single) warped product submanifolds of a Kenmotsu manifold, we have worked out characterizations in terms of a canonical structure T and the shape operator under which a pointwise pseudo slant submanifold of a Kenmotsu manifold reduces to a warped product submanifold.

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Some Results on Weakly Symmetric Kenmotsu Manifolds

Science & Technology Journal ◽

10.22232/stj.2019.07.01.02 ◽

2019 ◽

Vol 7 (1) ◽

pp. 13-21

Author(s):

J. P. Singh ◽

◽

K. Lalnunsiami

Keyword(s):

Kenmotsu Manifold ◽

Kenmotsu Manifolds ◽

Metric Connection ◽

Weakly Symmetric ◽

Symmetric Properties

In this paper, we investigate weakly symmetric, weakly Ricci symmetric, weakly concircular symmetric and weakly concircular Ricci symmetric properties of a Kenmotsu manifold admitting a semi-symmetric metric connection. Some results on weakly -projectively symmetric Kenmotsu manifold with respect to a semi-symmetric metric connection are obtained. An example of a weakly symmetric and weakly Ricci symmetric Kenmotsu manifold with respect to this connection is constructed.

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On Almost α‐Kenmotsu Manifolds with Some Tensor Fields

Afyon Kocatepe University Journal of Sciences and Engineering ◽

10.5578/fmbd.28092 ◽

2016 ◽

Vol 16 (2) ◽

pp. 256-264

Author(s):

Hakan Öztürk

Keyword(s):

Tensor Fields ◽

Kenmotsu Manifolds

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Ricci semisymmetric almost Kenmotsu manifolds with nullity distributions

Filomat ◽

10.2298/fil1801179d ◽

2018 ◽

Vol 32 (1) ◽

pp. 179-186

Author(s):

Sharief Deshmukh ◽

Uday De ◽

Peibiao Zhao

Keyword(s):

Vector Field ◽

Characteristic Vector ◽

Kenmotsu Manifolds ◽

Almost Kenmotsu Manifolds ◽

Nullity Distribution ◽

Characteristic Vector Field

The object of the present paper is to characterize Ricci semisymmetric almost Kenmotsu manifolds with its characteristic vector field ? belonging to the (k,?)'-nullity distribution and (k,?)-nullity distribution respectively. Finally, an illustrative example is given.

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On the quasi-conformal curvature tensor of an almost Kenmotsu manifold with nullity distributions

Facta Universitatis Series Mathematics and Informatics ◽

10.22190/fumi1802255d ◽

2018 ◽

Vol 33 (2) ◽

pp. 255

Author(s):

Dibakar Dey ◽

Pradip Majhi

Keyword(s):

Vector Field ◽

Curvature Tensor ◽

Conformally Flat ◽

Kenmotsu Manifold ◽

Conformal Curvature ◽

Conformal Curvature Tensor ◽

Kenmotsu Manifolds ◽

Almost Kenmotsu Manifolds ◽

Nullity Distribution ◽

Characteristic Vector Field

The object of the present paper is to characterize quasi-conformally flat and $\xi$-quasi-conformally flat almost Kenmotsu manifolds with $(k,\mu)$-nullity and $(k,\mu)'$-nullity distributions respectively. Also we characterize almost Kenmotsu manifolds with vanishing extended quasi-conformal curvature tensor and extended $\xi$-quasi-conformally flat almost Kenmotsu manifolds such that the characteristic vector field $\xi$ belongs to the $(k,\mu)$-nullity distribution.

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Kenmotsu manifolds admitting Schouten-Van Kampen Connection

Facta Universitatis Series Mathematics and Informatics ◽

10.22190/fumi1901023h ◽

2019 ◽

pp. 23

Author(s):

Nagaraja Gangadharappa Halammanavar ◽

Kiran Kumar Lakshmana Devasandra

Keyword(s):

Ricci Soliton ◽

Kenmotsu Manifold ◽

Kenmotsu Manifolds ◽

Equivalent Conditions

The objective of the present paper is to study Kenmotsu manifold admitting Schouten-van Kampen connection. We study Kenmotsu manifold admitting Schouten-van Kampen connection satisifying certain curvature conditions. Also we prove equivalent conditions for Ricci soliton in a Kenmotsu manifold is steady with respect to the Schouten-van Kampen connection.

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Some Symmetric Properties of Kenmotsu Manifolds Admitting Semi-Symmetric Metric Connection

Facta Universitatis Series Mathematics and Informatics ◽

10.22190/fumi1901035v ◽

2019 ◽

pp. 35

Author(s):

Venkatesha Venkatesh ◽

Arasaiah Arasaiah ◽

Vishnuvardhana Srivaishnava Vasudeva ◽

Naveen Kumar Rahuthanahalli Thimmegowda

Keyword(s):

Kenmotsu Manifold ◽

3 Dimensional ◽

Kenmotsu Manifolds ◽

Metric Connection ◽

Symmetric Properties

The object of the present paper is to study some symmetric propertiesof Kenmotsu manifold endowed with a semi-symmetric metric connection. Here weconsider pseudo-symmetric, Ricci pseudo-symmetric, projective pseudo-symmetric and -projective semi-symmetric Kenmotsu manifold with respect to semi-symmetric metric connection. Finally, we provide an example of 3-dimensional Kenmotsu manifold admitting a semi-symmetric metric connection which verify our results.

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