In this paper, we initiate the study of Yamabe and quasi-Yamabe solitons on Euclidean
submanifolds whose soliton fields are the tangential components of their position vector …

Recently, the author defined torqued vector fields in [Kragujevac J. Math. 41 (1)(2017), 93–
103]. In this paper, we classify all torqued vector fields on Riemannian manifolds. Moreover …

A Ricci soliton $(M^ n, g, v,\lambda) $ on a Riemannian manifold $(M^ n, g) $ is said to have
concurrent potential field if its potential field $ v $ is a concurrent vector field. In the first part …

In this article, we investigate perfect fluid spacetimes equipped with concircular vector field.
At first, in a perfect fluid spacetime admitting concircular vector field, we prove that the …

The main goal of this paper is to study the properties of generalized Ricci recurrent perfect
fluid spacetimes and the generalized Ricci recurrent (generalized Robertson–Walker …

Torse-forming 𝜂-Ricci solitons are studied in the framework of almost paracontact metric 𝜂-
Einstein manifolds. By adding a technical condition, called regularity and concerning with …

Recently, the author defined and classified rectifying submanifolds in Euclidean spaces in
[12]; extending his earlier work on rectifying curves in Euclidean 3-space done in [6]. In this …

This short note concerns with two inequalities in the geometry of gradient Ricci solitons $(g,
f,\lambda) $ on a smooth manifold $ M $. These inequalities provide some relationships …

The object of the present paper is to study the $\phi $-Ricci symmetric, locally $\phi $-Ricci
symmetric and cyclic Ricci parallel three-dimensional $ f $-Kenmotsu manifold bearing the …

Concurrent vector fields lying on lightlike hypersurfaces of a Lorentzian manifold are
investigated. Obtained results dealing with concurrent vector fields are discussed for totally …