Geodesic vector fields and other distinguished vector fields on a Riemann manifold were
used in the study of free motions on such a manifold, and we applied the geometric Hamilton …

A geometric approach to Sundman infinitesimal time-reparametrisation is given and some of
its applications are used to illustrate the general theory. Special emphasis is put on …

We study the influence of a unit Killing vector field on geometry of Riemannian manifolds.
For given a unit Killing vector field w on a connected Riemannian manifold (M, g) we show …

In this paper, we show that, given a non-trivial concircular vector field u on a Riemannian
manifold (M, g) with potential function f, there exists a unique smooth function ρ on M that …

In this paper, we initiate the study of impact of the existence of a unit vector ν ν, called a
concurrent-recurrent vector field, on the geometry of a Riemannian manifold. Some …

The concircularity property of vector fields implies the geodesicity property, while the
converse of this statement is not true. The main objective of this note is to find conditions …

In this paper, we give some classifications of the k-Yamabe solitons on the hypersurfaces of
the Euclidean spaces from the vector field point of view. In several results on k-Yamabe …

In this article, we show that the presence of a torqued vector field on a Riemannian manifold
can be used to obtain rigidity results for Riemannian manifolds of constant curvature. More …

In this work we consider the Riemannian manifold defined by the product of an integral
curve of a Cauchy-Riemann vector field on the Poincaré upper half-plane and its image in …

We consider a general notion of an almost Ricci soliton and establish some curvature
properties for the case in which the potential vector field of the soliton is a generalized …