The paper is devoted to studying equidistant two-dimensional (pseudo-) Riemannian
spaces. Embeddings of these spaces in three-dimensional Euclidean and Minkowski …

We find three necessary and sufficient conditions for an n-dimensional compact Ricci almost
soliton (M, g, w, σ) to be a trivial Ricci soliton under the assumption that the soliton vector …

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 …

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 paper we study rectifying submanifolds of a Riemannian manifold endowed with an
anti-torqued vector field. For this, we first determine a necessary and sufficient condition for …

In this article, it has been observed that a unit Killing vector field ξ on an n-dimensional
Riemannian manifold (M, g), influences its algebra of smooth functions C∞(M). For instance …

The present article utilises a property of torse-forming vector fields to deduce some criteria
for invariant submanifolds of Riemannian manifolds to be totally geodesic. Certain features …

In this article, it has been observed that a unit Killing vector field ξ on an n-dimensional
Riemannian manifold (M, g), influences its algebra of smooth functions C∞(M). For instance …