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 the present, we first obtain Chen–Ricci inequality for C-totally real warped product
submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and …

In this paper, we explore the uses of Obata's differential equation in relation to the Ricci
curvature of an odd-dimensional sphere that possesses a semi-symmetric metric …

In the present paper, we establish a Chen–Ricci inequality for a C‐totally real warped
product submanifold Mn of Sasakian space forms M 21 m+ ε. As Chen–Ricci inequality …

The objective of this paper is to achieve the inequality for Ricci curvature of a contact CR-
warped product submanifold isometrically immersed in a generalized Sasakian space form …

The present paper aims to construct an inequality for bi-warped product submanifolds in a
special class of almost metric manifolds, namely nearly Kenmotsu manifolds. As geometric …

We study orientable hypersurfaces in a Sasakian manifold. The structure vector field ξ of a
Sasakian manifold determines a vector field v on a hypersurface that is the component of the …

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 …

In the present work, we consider two types of bi-warped product submanifolds, M= MT× f 1
M⊥× f 2 M ϕ and M= M ϕ× f 1 MT× f 2 M⊥, in nearly trans-Sasakian manifolds and construct …

The present paper studies the applications of Obata's differential equations on the Ricci
curvature of the pointwise semislant warped product submanifolds. More precisely, by …