Almost-Riemann solitons are introduced and studied on an almost contact complex Riemannian manifold, i.e., almost-contact B-metric which is obtained from a cosymplectic manifold of the considered type by means conformal transformation Reeb vector field, its dual 1-form, B-metric, associated B-metric. The potential soliton assumed to be in vertical distribution, it collinear field. In this way, ...

In the present paper, we have studied the properties of a quartersymmetric non-metric connection in an almost contact metric manifold.

In the last decade, contact, almost contact, paracontact cosymplectic, and conformal cosymplectic manifolds carrying κ > 1 structure vector fields ξ have been studied by many authors, e.g. [2], [7], [11], [15]. In the present paper we consider a (2m + 2)-dimensional Riemannian manifold carrying two structure vector fields ξ (r ∈ {2m+1, 2m+2}), a (1, 1)-tensor field Φ, and a structure 2 form Ω o...

In this article, normal paracontact metric space forms are investigated on W_0-curvature tensor. Characterizations of obtained Special curvature conditions established with the help Riemann, Ricci, concircular tensors discussed With these conditions, important characterizations obtained.

the main objective of this paper is to find the necessary and sufficient condition of a given finslermetric to be einstein in order to classify the einstein finsler metrics on a compact manifold. the consideredeinstein finsler metric in the study describes all different kinds of einstein metrics which are pointwiseprojective to the given one. this study has resulted in the following theorem tha...

In this paper we study a Riemanian metric on the tangent bundle T (M) of a Riemannian manifoldM which generalizes Sasakian metric and Cheeger–Gromoll metric along a compatible almost complex structure which together with the metric confers to T (M) a structure of locally conformal almost Kählerian manifold. This is the natural generalization of the well known almost Kählerian structure on T (M)...