Journal of the Tensor Society

Proposed theorems on an almost complex golden structure and its frame bundle

Anowar Hussain Sadiyal — 2024-12-30

The goal of this research is to ascertain the connection between CRstructure and an almost complex golden structure and to identify some fundamental findings. A few theorems on CR-structure and an almost complex golden structure are proved, and integrability criteria are discussed.

Bianchi Type- III Perfect Fluid Dark Energy Cos- mological Model with Dynamical Equation of State Parameter in f(R,T) Theory of Gravity

Priyanka Kumari — 2025-02-03

We investigate some spatially homogeneous
Bianchi type-III dark energy cosmological model with equation
of state parameter in presence of perfect fluid within
the framework of modified f(R,T) gravity theory with the
help of special form of deceleration parameter for FRW
metric proposed by Singh and Debnath [1] . We have also
assumed that the scalar expansion is proportional to the
shear and the EoS parameter is proportional to skewness
parameter in this model. Some physical and kinematical
behaviour of the model are also discussed in detail .

Geometry of contact and complex structures with statistical manifolds

SAHADAT ALI — 2025-02-03

This paper aims to introduce the concept of contact structure with statistical manifold and to explore the properties of lightlike hypersurfaces within
such manifolds. It also examines the relationships among induced geometric
objects with respect to dual connections. Finally, the paper demonstrates
that an invariant lightlike submanifold of an indefinite quasi-Sasakian statistical manifold retains the structure of an indefinite quasi-Sasakian statistical
manifold.

ON POINTWISE BI-SLANT RIEMANNIAN MAPS

Sushil Kumar — 2024-12-28

In this article, we study Pointwise bi-slant Riemannian maps (PBSRM) from almost Hermitian manifolds to Riemannian manifolds. The current study aims to establish the various results satisfied by these maps from K¨ahler manifolds to Riemannian manifolds. To check the existence of such maps, we provide an example. We derive some important results for these maps including the necessary and sufficient conditions for integrability of distributions related to these maps.

KILLING VECTOR FIELDS ON A FAMILY OF FOUR-DIMENSIONAL WALKER MANIFOLDS

Abdoul Salam Diallo — 2025-02-03

In this paper, we study Killing vector fields on four-dimensional Walker manifolds and we obtain conditions for a vector field on a family of four-dimensional Walker manifold to be Killing.