Abstract In the paper herein we treat some problems concerning the metric structure on the 2-tangent bundle: T²M: We determine the set of all metric semi-symmetric N-linear connections, in the case ...

Abstract We find the almost product (locally product) structures of general natural lift type on the tangent bundle of a Riemannian manifold. We get the conditions under which the tangent bundle ...

Differential geometry is the study of smooth manifolds and the intrinsic properties of spaces that can be described locally by Euclidean geometry. Within this expansive field, singularities represent ...

Algebraic and differential geometry stand as two intertwined pillars of modern mathematics. Whereas algebraic geometry investigates the solution sets of polynomial equations using the refined language ...