General Relativity reinterprets the force of gravity not as a traditional force but as a manifestation of the curvature of spacetime. Its formulation rests on a rigorous mathematical framework built ...

In the field of Differential Geometry we are concerned with Riemannian manifolds or more generally (inner) metric spaces. We are interested in the interplay between their curvature and global ...

In this paper, we introduce a new type of curvature tensor named 𝓗-curvature tensor of type (1, 3) which is a linear combination of conformal and projective curvature tensors. First we deduce some ...

In this paper, we study concircular curvature tensor of nearly cosymplectic manifolds in terms of the generalized Tanaka-Webster connection and then, we emphasized the properties that concircular ...

Riemannian manifolds or geodesic metric spaces of finite or infinite dimension occur in many areas of mathematics. We are interested in the interplay between their local geometry and global ...