arXiv research

Study finds specific Lie groups with Kenmotsu structures.

The paper studies a new soliton on Kenmotsu manifolds and derives its scalar curvature.

Study of $η$-Ricci solitons and $η$-Einstein metrics on weak $β$-Kenmotsu $f$-manifolds.

Study $\ast$-$η$-Ricci solitons on weak Kenmotsu $f$-manifolds.

In this paper, a $3$-Kenmotsu structure is defined on a $4n+1$ dimensional manifold where such structure seems to be never studied before.

In the present paper, we study warped product semi-slant submanifolds of Kenmotsu manifolds. We have obtained results on the existence of warped product semi-slant submanifolds of Kenmotsu manifolds in term of the canonical structure .

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.

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 $\varphi$-sectional curvature, and prove the structure theorem for $ξ$-conformally fla…

We study $\mathcal D$-homothetic deformations of almost $α$-Kenmotsu structures. We characterize almost contact metric manifolds which are $CR$-integrable almost $α$-Kenmotsu manifolds, through the existence of a canonical linear connection, invariant under $\mathcal D$-homothetic deformations. If the canonical connect…

Study on solitons in deformed Kenmotsu manifolds with specific vector fields.

Study on Ricci solitons and Einstein metrics in weak β-Kenmotsu manifolds.

In this paper, we have studied the critical point equation (shortly, CPE) within the frame-work of Kenmotsu and almost Kenmotsu manifold satisfying certain nullity conditions. First, we prove that a complete Kenmotsu metric satisfies the CPE is Einstein and locally isometric to the hyperbolic space H2n+1. In case of Ke…

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 manifold, we have called generalized Kenmotsu manifolds. Necessary and sufficient c…

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 locally isometric to warped product of real line and nearly Kähler manifold. Fin…

Study of $η$-Ricci solitons on Kenmotsu 3-manifolds.

The paper characterizes $\ast$-Ricci-Bourguignon solitons on Kenmotsu manifolds.

Study properties of Kenmotsu manifolds with conformal η-Einstein soliton metrics.

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 investigate further properties of invariant submanifolds of \ a generalized Kenmotsu man…

The paper explores $*$-conformal $η$-Ricci solitons in Kenmotsu manifolds.

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 manifold with some related examples. We investigate some statistical curvature properti…

Study on triharmonic curves in f-Kenmotsu manifolds.

The differential geometry of Kenmotsu manifold is a valuable part of contact geometry with nice applications in other fields such as theoretical physics. In fact, its statistical counterpart, that is, Kenmotsu statistical manifold also has same importance as that of Kenmotsu manifold. Theoretical physicists have also b…

A structure on an almost contact metric manifold is defined as a generalization of well-known cases: Sasakian, quasi-Sasakian, Kenmotsu and cosymplectic. Then we consider a semi-invariant $ξ^{\bot}$-submanifold of a manifold endowed with such a structure and two topics are studied: the integrability of distributions de…

The paper characterizes Kenmotsu manifolds with conformal η-Ricci solitons.

The aim of this article is to study the Riemann soliton and gradient almost Riemann soliton on certain class of almost Kenmotsu manifolds. Also some suitable examples of Kenmotsu and $(κ,μ)'$-almost Kenmotsu manifolds are constructed to justify our results.

The aim of the present paper is to study the properties of Kenmotsu manifolds equipped with a non-symmetric non-metric connection. We also establish some curvature properties of Kenmotsu manifolds. It is proved that a Kenmotsu manifold endowed with a non-symmetric non-metric is irregular.

In this paper we study para-Kenmotsu manifolds. We characterize this manifolds by tensor equations and study their properties. We are devoted to a study of $η-$Einstein manifolds. We show that a conformally flat para-Kenmotsu manifold is a space of constant negative curvature $-1$ and we prove that if a para-Kenmotsu m…

We study the Riemann curvature tensor of (κ,μ,ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, giving its writing explicitly. This leads to the definition and study of a natural generalisation of the contact metric (κ,μ,ν)-spaces. We present examples or obstruction results of these spaces in…

Characterizes $*$-$k$-Ricci-Yamabe solitons on Kenmotsu manifolds.

The study characterizes almost Kenmotsu manifolds with specific vector fields.

Study on Schouten solitons on Kenmotsu manifolds, focusing on torse-forming vector fields.

The paper studies bi-slant Riemannian maps to Kenmotsu manifolds and derives inequalities.

The paper characterizes a class of almost Kenmotsu manifolds with quasi Yamabe solitons.

The study examines almost Ricci-Yamabe solitons on almost Kenmotsu manifolds and their properties.

The paper characterizes specific almost Kenmotsu manifolds with Ricci-Yamabe solitons.

The Eisenhart problem of finding parallel tensors is solved for the symmetric case in the regular $f$-Kenmotsu framework. On this way, the Olszack-Rosca example of Einstein manifolds provided by $f$-Kenmotsu manifolds via locally symmetric Ricci tensors is recovered as well as a case of Killing vector fields. Some othe…

The paper characterizes Einstein metrics in Kenmotsu manifolds using specific soliton types.

The paper characterizes Kenmotsu metrics as almost $*$-Ricci solitons.

The paper studies curvature tensors and hypersurfaces in Kenmotsu type manifolds.

The paper studies Cotton solitons on specific geometric manifolds.

CR-hypersurfaces of conformal Kenmotsu space form satisfying certain shape operator conditions

In this paper we characterize certain class of almost Kenmotsu metrics satisfying the Miao-Tam equation.

Study examines Weyl structures on Riemannian manifolds with vanishing Lee form.

We investigate 3-dimensional almost Kenmotsu manifolds satisfying special types of nullity conditions depending on two smooth functions $κ,μ$. When either $κ<-1$ and $μ=0$ or $h=0$, such conditions coincide with the $κ$-nullity condition which we show to be equivalent to the $η$-Einstein one. As an application of this …

The paper characterizes gradient solitons in specific manifold types.

The object of the present paper is to study the locally $φ$- semisymmetric Kenmotsu manifolds along with the characterization of such notion.

We study singularities of surfaces which are given by Kenmotsu-type formula with prescribed unbounded mean curvature.

Main interest of the present paper is to obtain the generalized Wintgen inequality for Legendrian submanifolds in almost Kenmotsu manifolds.