Prolongations of f-structure to.the tangent bundle of order 2
Reads0
Chats0
TLDR
In this paper, a study of prolongations of F-structure to the tangent bundle of order 2 has been presented, where the authors propose an extension of the T-bundle of order 3.Abstract:
A study of prolongations of F-structure to the tangent bundle of order 2 has been presented.read more
Citations
More filters
Second order parallel tensor on a sasakian manifold
Abstract: Levy had proved that a second order symmetric parallel nonsingular tensor on a space of constant curvature is a constant multiple of the metric tensor. Sharma [12] has proved that a second order parallel tensor in a Kaehler space of constant holomorphic sectional curvature is a linear combination with constant coefficients of the Kaehlarian metric and the fundamental 2 – form. In this paper we show that a second order symmetric parallel tensor on an α – K contact (α ∈ Ro) manifold is a constant multiple of the associated metric tensor and we also prove that there is no nonzero skew symmetric second order parallel tensor on an α – Sasakian manifold.
Journal Article
Prolongations of Golden Structure to Tangent Bundle of Order 2
TL;DR: In this article, the integrability and parallelism of Gloden structures in tangent bundles of order 2 were investigated and a semi-Riemannian metric was defined.
Journal ArticleDOI
Parallelism of Distributions and Geodesics on F(2K +S;S)-Structure Lagrangian Manifolds
TL;DR: In this paper, it was shown that if an almost product structure P on the tangent space of a 2n dimensional Lagrangian manifold E is dened and the F (2K+S;S) structure on the vertical tangent spaces TV (E) is given, then it is possible to dene the similar structure on a horizontal subspace TH(E) and also on the manifold T (E).
Journal ArticleDOI
Some notes on lifts of the F((υ+1),λ²(υ-1))-structure on cotangent and tangent bundle
TL;DR: In this paper, the complete and horizontal lifts of (1, 1) tensor field F satisfying structure F(v+1)-λµFµ(v-1) = 0 were studied.
References
More filters
Journal Article
On the Geometry of the Tangent Bundle.
TL;DR: In this paper, the Eckmann-Frölicher tensor of the tangent bündle of a manifold is computed, which implies that the manifold is integrable if and only if the linear connection has vanishing torsion and curvature.
Journal ArticleDOI
CR-submanifolds of a complex space form
TL;DR: In this article, the authors present fundamental formulas for submanifolds of a Kaehlerian manifold, and in particular for those of a complex space form, and discuss the CR-submanifold and generic submansifolds and derive integral formulas of Simons' type and apply it to prove Theorem 3, 4 and 5.