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The aim of this paper is to study generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci-symmetric Kenmotsu manifolds with respect to the semi-symmetric non-metric connection.

Differential Geometry · Mathematics 2018-01-10 S. K. Chaubey , A. C. Pandey , N. V. C. Shukla

Kenmotsu geometry is a valuable part of contact geometry with nice applications in other fields such as theoretical physics. In this article, we study the statistical counterpart of a Kenmotsu manifold, that is, Kenmotsu statistical…

Differential Geometry · Mathematics 2020-09-15 Aliya Naaz Siddiqui , Young Jin Suh , Oğuzhan Bahadır

The present study initially identified the generalized symmetric connections $(\alpha,\beta)$ typed, which can be regarded as more generalised forms of quarter and semi-symmetric connections. The quarter and semi-symmetric connections are…

Differential Geometry · Mathematics 2020-10-02 Mohammed Ali Alghamdi , Oğuzhan Bahadır

In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization. A sharp relation is obtained as a…

Differential Geometry · Mathematics 2020-01-07 Siraj Uddin

We give a partial account of some problems concerning cohomological invariants and metric properties of complex non-K\"ahler manifolds.

Differential Geometry · Mathematics 2026-02-04 Daniele Angella , Nicoletta Tardini

Using a semi-symmetric metric connection, we construct Frenet frame and curvatures of curves in 3-dimensional manifolds and give examples of semi-symmetric Frenet curves in Euclidean, Sasakian and Kenmotsu manifolds.

Differential Geometry · Mathematics 2026-01-05 Şaban Güvenç

In this paper, invariant submanifolds of a generalized Kenmotsu manifold are studied. Necessary and sufficient conditions are given on a submanifold of a generalized Kenmotsu manifold to be an invariant submanifold.In this case, we…

Differential Geometry · Mathematics 2014-10-20 Aysel Turgut Vanli , Ramazan Sari

The aim of the present paper is to study the properties of Riemannian manifolds equipped with a projective semi-symmetric connection.

Differential Geometry · Mathematics 2017-10-03 S. K. Chaubey , S. K. Yadav , Pankaj

The paper will study a new quarter-symmetric non-metric connection on a generalized Riemannian manifold. It will determine the relations that the torsion tensor satisfies. The exterior derivative of the skew-symmetric part $F$ of basic…

Differential Geometry · Mathematics 2025-08-22 Miroslav Maksimović

In 1972, K. Kenmotsu studied a class of almost contact Riemannian manifolds. Later, such a manifold was called a Kenmotsu manifold. This paper, we studied Kenmotsu manifolds with $(2n+s)$-dimensional $s-$contact metric manifold and this…

Differential Geometry · Mathematics 2020-07-03 Aysel Turgut Vanli , Ramazan Sari

The object of the present paper is to study some properties of Kenmotsu manifold whose metric is conformal $\eta$-Einstein soliton. We have studied some certain properties of Kenmotsu manifold admitting conformal $\eta$-Einstein soliton. We…

Differential Geometry · Mathematics 2021-06-09 Soumendu Roy , Santu Dey , Arindam Bhattacharyya

This is an expository paper, which provides a first approach to nearly Kenmotsu manifolds. The purpose of this paper is to focus on nearly Kenmotsu manifolds and get some new results from it. We prove that for a nearly Kenmotsu manifold is…

Differential Geometry · Mathematics 2015-05-21 Irem Kupeli Erken , Piotr Dacko , Cengizhan Murathan

The object of this paper is to obtain the concircular curvature tensor of the semi symmetric non-metric connection on the Weyl manifold and to give a necessary and sufficient condition for a semi symmetric non-metric connection to be…

Differential Geometry · Mathematics 2014-11-14 Fusun Nurcan Bastan

The object of the present paper is to study invariant submanifolds of (LCS)n-manifolds with respect to quarter symmetric metric connection. It is shown that the mean curvature of an invariant submanifold of (LCS)n-manifold with respect to…

Differential Geometry · Mathematics 2017-06-29 Shyamal Kumar Hui , Laurian-Ioan Piscoran , Tanumoy Pal

In 1992, Agache and Chaple introduced the concept of a semi-symmetric non-metric connection([1]). The semi-symmetric non-metric connection does not satisfy the Schur`s theorem. The purpose of the present paper is to study some properties of…

Mathematical Physics · Physics 2012-12-20 Ho Tal Yun

In this paper, we investigate the condition on warped product manifold of a Kenmotsu manifold and the real line to be a conformal Kahler manifold. This result demonstrates the close relation of Kenmotsu and Kahler manifolds.

Differential Geometry · Mathematics 2021-09-14 H. Attarchi , M. M. Rezaii

In this paper, a systematic study of Kenmotsu pseudo-metric manifolds are introduced. After studying the properties of this manifolds, we provide necessary and sufficient condition for Kenmotsu pseudo-metric manifold to have constant…

Differential Geometry · Mathematics 2019-12-25 Devaraja Mallesha Naik , Venkatesha , D. G. Prakasha

We proved the existence of supersymmetric Hermitian metrics with torsion on a class of non-Kaehler manifolds.

High Energy Physics - Theory · Physics 2007-05-23 Ji-Xiang Fu , Shing-Tung Yau

This article carries out the investigation of a three-dimensional Riemannian manifold $N^3$ endowed with a semi-symmetric type non-metric connection. Firstly, we construct a non-trivial example to prove the existence of a semi-symmetric…

Differential Geometry · Mathematics 2024-02-27 Krishnendu De , Uday Chand De , Aydin Gezer

The present paper deals with the study of warped product pointwise bi-slant submanifolds of Kenmotsu manifolds with an example. The characterization for such submanifold is also discussed. An inequality of such submanifold is obtained and…

Differential Geometry · Mathematics 2018-03-29 Shyamal Kumar Hui , Joydeb Roy , Tanumoy Pal
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