arXiv research

Study projective semi-symmetric connections on Riemannian manifolds.

The paper studies geometric structures of wormholes using a new connection.

New generalized symmetric connections defined for Kenmotsu manifolds.

Defines semi-symmetric metric connection on super warped products.

Let $M$ be an $n-$dimensional differentiable manifold equipped with a torsion-free linear connection $\nabla$ and $T^{\ast }M$ its cotangent bundle. The present paper aims to study a metric connection $\widetilde{% \nabla }$ with nonvanishing torsion on $T^{\ast }M$ with modified Riemannian extension ${}\bar{g}_{\nabl…

Study constructs Frenet curves using semi-symmetric metric connection.

The paper studies special warped products with a specific connection on super Riemannian manifolds.

Study non-integrable distributions with various affine connections.

The study investigates properties of a specific Riemannian manifold with a semi-symmetric non-metric connection.

New type of semi-symmetric non-metric connection studied in almost contact metric manifolds.

The paper studies special solitons on Riemannian manifolds with specific vector fields.

Characterizes Lorentzian manifolds with semi-symmetric metric connections.

Defines semi-symmetric metric connections on differential forms.

The study classifies minimal translation surfaces in 3D and 3D_1.

In this paper, we define a semi-symmetric metric Killing vector field, then study semi-symmetric metric Killing vector fields on warped and multiply warped products with a semi-symmetric metric connection. We also study Killing and 2-Killing vector fields on multiply warped products.

The paper examines Einstein doubly warped product manifolds with a semi-symmetric metric connection.

Study of minimal surfaces in 3D space with special connections.

In this paper, we study the Einstein multiply warped products with a semi-symmetric non-metric connection and the multiply warped products with a semi-symmetric non-metric connection with constant scalar curvature, we apply our results to generalized Robertson-Walker spacetimes with a semi-symmetric non-metric connecti…

In this paper, we compute the index form of the multiply twisted products. We study the Killing vector fields on the multiply twisted product manifolds and determine the Killing vector fields in some cases. We compute the curvature of the multiply twisted products with a semi-symmetric metric connection and show that t…

The study examines a semi-symmetric metric connection in perfect fluid space-time and phantom barriers.

Study properties of Kenmotsu manifolds with a specific connection.

The object of the present paper is to study locally $φ$-symmetric LP-Sasakian manifolds admitting semi-symmetric metric connection and obtain a necessary and sufficient condition for a locally $φ$-symmetric LP-Sasakian manifold with respect to semi-symmetric metric connection to be locally $φ$-symmetric LP-Sasakian man…

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 S-concircular.

Paper derives inequalities for submanifolds in a specific geometric space.

Paper establishes inequality for submanifolds in real space forms with semi-symmetric non-metric connection.

This paper explores Lorentzian manifolds with specific connections and their symmetries.

The paper studies geometric structures in Sol_3 with two connections.

The paper studies affine connections on singular warped products and their curvature.

Study on new connections in para-Sasakian manifolds.

In this paper, we study the quasi-Einstein and generalized quasi-Einstein warped products with a semi-symmetric non-metric connection. We give the expressions of the Ricci tensors and scalar curvatures for the bases and fibres. In some cases we give some obstructions to the existence of the quasi-Einstein and generaliz…

Study on surfaces with constant curvature under a specific connection.

Study invariant submanifolds in generalized Sasakian-space-forms.

We find all Ricci semi-symmetric as well as all conformally semi-symmetric spacetimes. Neither of these properties implies the other. We verify that only conformally flat spacetimes can be Ricci semi-symmetric without being conformally semi-symmetric and show that only vacuum spacetimes and spacetimes with just a $Λ$-t…

The paper classifies translation surfaces with constant curvature in a specific connection.

The paper extends affine connection results to singular warped and twisted products.

We provide a simple proof that conformally semi-symmetric spacetimes are actually semi-symmetric. We also present a complete refined classification of the semi-symmetric spacetimes.

New proof for unique semi-symmetric compatible linear connection on Finsler manifolds.

New minimal surfaces found using a modified metric connection.

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…

In a Riemannian manifold, the existence of a new connection is proved. In particular cases, this connection reduces to several symmetric, semi-symmetric and quarter-symmetric connections; even some of them are not introduced so far. We also find formula for curvature tensor of this new connection.

Study properties of semi-symmetric Lorentzian spaces, foliated manifolds.

Study finds all 4D neutral manifolds.

In this paper we discuss curvature tensors in the context of Absolute Parallelism geometry. Different curvature tensors are expressed in a compact form in terms of the torsion tensor of the canonical connection. Using the Bianchi identities some other identities are derived from the expressions obtained. These identiti…

We give a complete description of semi-symmetric algebraic curvature tensors on a four-dimensional Lorentzian vector space and we use this description to determine all four-dimensional homogeneous semi-symmetric Lorentzian manifolds.

We investigate L-sectional curvature of S-manifolds with respect to the Rieman- nian connection and to certain semi-symmetric metric and non-metric connections naturally related with the structure, obtaining conditions for them to be constant and giving examples of S-manifolds in such conditions. Moreover, we calculate…

In this paper we study curvature properties of semi-symmetric type of totally umbilical radical transversal lightlike hypersurfaces $(M,g)$ and $(M,\widetilde g)$ of a Kähler-Norden manifold $(\overline M,\overline J,\overline g,\overline {\widetilde g})$ of constant totally real sectional curvatures $\overline ν$ and …

We find explicitly all bi-umbilical foliated semi-symmetric hypersurfaces in the four-dimensional Euclidean space.

The paper studies properties of a second-order tangent bundle with a deformed metric.