Results 41 to 50 of about 378,438 (215)

Dirac Structures on Banach Lie Algebroids

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In the original definition due to A. Weinstein and T. Courant a Dirac structure is a subbundle of the big tangent bundle T M ⊕ T* M that is equal to its ortho-complement with respect to the so-called neutral metric on the big tangent bundle.
Vulcu Vlad-Augustin
doaj   +1 more source

On the Classifying of the Tangent Sphere Bundle with Almost Contact B-Metric Structure

پژوهش‌های ریاضی, 2021
One of the classical fundamental motifs in differential geometry of manifolds is the notion of the almost contact structure. As a counterpart of the almost contact metric structure, the notion of the almost contact B-metric structure has been an ...
Esmaeil Peyghan, Farshad Firuzi
doaj  

A Kähler Einstein structure on the tangent bundle of a space form

International Journal of Mathematics and Mathematical Sciences, 2001
We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant.
Vasile Oproiu
doaj   +1 more source

Natural Paracontact Magnetic Trajectories on Unit Tangent Bundles

Axioms, 2020
In this paper, we study natural paracontact magnetic trajectories in the unit tangent bundle, i.e., those that are associated to g-natural paracontact metric structures.
Mohamed Tahar Kadaoui Abbassi, Noura Amri   +1 more
doaj   +1 more source

Quasi-Statistical Schouten–van Kampen Connections on the Tangent Bundle

Mathematics, 2023
We determine the general natural metrics G on the total space TM of the tangent bundle of a Riemannian manifold (M,g) such that the Schouten–van Kampen connection ∇¯ associated to the Levi-Civita connection of G is (quasi-)statistical.
Simona-Luiza Druta-Romaniuc
doaj   +1 more source

Simplicity of Tangent bundles on the moduli spaces of symplectic and orthogonal bundles over a curve

Comptes Rendus. Mathématique
The variety of minimal rational tangents associated to Hecke curves was used by J.-M. Hwang [8] to prove the simplicity of the tangent bundle on the moduli of vector bundles over a curve.
Choe, Insong, H. Hitching, George, Hong, Jaehyun   +2 more
doaj   +1 more source

Lagrange geometry on tangent manifolds

International Journal of Mathematics and Mathematical Sciences, 2003
Lagrange geometry is the geometry of the tensor field defined by the fiberwise Hessian of a nondegenerate Lagrangian function on the total space of a tangent bundle. Finsler geometry is the geometrically most interesting case of Lagrange geometry.
Izu Vaisman
doaj   +1 more source

Para-hyperhermitian structures on tangent bundles; pp. 165–173 [PDF]

Proceedings of the Estonian Academy of Sciences, 2011
In this paper we construct a family of almost para-hyperhermitian structures on the tangent bundle of an almost para-hermitian manifold and study its integrability. Also, the necessary and sufficient conditions are provided for these structures to become
Gabriel Eduard Vîlcu
doaj   +1 more source

Remarks on η-Einstein unit tangent bundles

Monatshefte für Mathematik, 2008
15 ...
Chai, Y. D., Chun, S. H., Park, J. H., Sekigawa, K.   +3 more
openaire   +2 more sources

Pluriclosed flow on generalized Kähler manifolds with split tangent bundle [PDF]

Journal für die Reine und Angewandte Mathematik, 2014
We show that the pluriclosed flow preserves generalized Kähler structures with the extra condition [J_{+},J_{-}]=0 , a condition referred to as “split tangent bundle.” Moreover, we show that in this case the flow reduces to a nonconvex fully
J. Streets
semanticscholar   +1 more source