Results 21 to 30 of about 5,275 (302)

On the geometry of the tangent bundle with gradient Sasaki metric [PDF]

Arab Journal of Mathematical Sciences, 2023
Purpose – Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the authors introduce a new class of natural metrics denoted by gf and called gradient Sasaki metric on the tangent bundle TM. The authors calculate its Levi-Civita
Lakehal Belarbi, Hichem Elhendi
doaj   +1 more source

New hyper-Käahler structures on tangent bundles [PDF]

, 2014
summary:Let $(M,g,J)$ be an almost Hermitian manifold, then the tangent bundle $TM$ carries a class of naturally defined almost hyper-Hermitian structures $(G,J_1,J_2,J_3)$.
Cao, Linfen, Qi, Xuerong, Li, Xingxiao
core   +1 more source

Homology tangent bundles and universal bundles [PDF]

Proceedings of the American Mathematical Society, 1972
We find results about the evaluation map from the group of homeomorphisms of a closed manifold M and also about fibre bundles where M is the fibre. These facts follow from the observation that the homology tangent bundle is induced from a universal bundle pair.
openaire   +1 more source

On $g$-natural conformal vector fields on unit tangent bundles [PDF]

, 2021
summary:We study conformal and Killing vector fields on the unit tangent bundle, over a Riemannian manifold, equipped with an arbitrary pseudo-Riemannian $g$-natural metric.
Amri, Noura, Abbassi, Mohamed Tahar Kadaoui   +1 more
core   +1 more source

Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]

Arab Journal of Mathematical Sciences
PurposeThe purpose of this paper is to study the properties of the solitons on Sasakian manifold on the tangent bundle with respect to quarter symmetric non metric connection.Design/methodology/approachWe used the vertical and complete lifts, Ricci ...
Lalnunenga Colney, Rajesh Kumar
doaj   +1 more source

Tangent Bundle Filters and Neural Networks: From Manifolds to Cellular Sheaves and Back [PDF]

, 2023
In this work we introduce a convolution operation over the tangent bundle of Riemannian manifolds exploiting the Connection Laplacian operator. We use this convolution operation to define tangent bundle filters and tangent bundle neural networks (TNNs ...
Di Lorenzo, P., Battiloro, C., Riess, H., Wang, Z., Ribeiro, A.   +4 more
core   +1 more source

Induced connections of two types on a surface of an affine space

Дифференциальная геометрия многообразий фигур, 2019
In the affine space the fundamental-group connection in the bundle associated with a surface as a manifold of tangent planes is investigated. The principal bundle contains a quotient bundle of tangent frames, the typical fiber of which is a linear group ...
A. Shults
doaj   +1 more source

Restricted Tangent Bundle of Space Curves [PDF]

, 2005
The classiffication of space curves, i.e. embeddings of compact Riemann surfaces into IP3(IC) is an old problem in algebraic geometry. In this paper the problem is studied under the point of view: What is the structure of the restriction of the tangent ...
Hein, Georg, Kurke, Herbert
core   +1 more source

MAGNETIC FIELDS ON THE TANGENT BUNDLE OVER KÄHLERIAN MANIFOLDS

, 2023
This paper is devoted to the study of generalized magnetic vector fields as magnetic maps from a Kählerian manifold to its tangent bundle endowed with a Berger type deformed Sasaki metric.
Djaa, Nour Elhouda, GEZER, Aydın, Djaa, Mustapha   +2 more
core   +1 more source

Sub-bundles of the complexified tangent bundle [PDF]

Transactions of the American Mathematical Society, 2003
We study embeddings of complex vector bundles, especially line bundles, in the complexification of the tangent bundle of a manifold. The aim is to understand implications of properties of interest in partial differential equations.
Jacobowitz, Howard, Mendoza, Gerardo
openaire   +1 more source