Results 71 to 80 of about 332,331 (254)

Generalised connections over a vector bundle map

open access: yes, 2002
A generalised notion of connection on a fibre bundle E over a manifold M is presented. These connections are characterised by a smooth distribution on E which projects onto a (not necessarily integrable) distribution on M and which, in addition, is ...
Cantrijn, F., Langerock, B.
core   +2 more sources

Bigness of the tangent bundles of projective bundles over curves [PDF]

open access: yesarXiv, 2022
In this short article, we determine the bigness of the tangent bundle $T_X$ of the projective bundle $X=\mathbb{P}_C(E)$ associated to a vector bundle $E$ on a smooth projective curve $C$.
arxiv  

A Cohomological Class of Vector Bundles [PDF]

open access: yesProceedings of the American Mathematical Society, 1994
The goal of this paper is to give a cohomological characterization of F n , t {F_{n,t}} , where F n , t := Ker ⁡ ( (
openaire   +3 more sources

Fiber-Preserving Conformal Vector Field of Frame Bundles with Natural Riemannian Metric [PDF]

open access: yesMemoirs of the Scientific Sections of the Romanian Academy, 2019
We consider the bundle of all oriented orthonormal frames over an orientable Remannian manifold. This bundle has a natural Riemannian metric which is defined by the Riemannian connection of the base manifold.
M.T.K. Abbassi , N. Amri
doaj  

On the scalar components of the canonical form on higher order frame bundles

open access: yesДифференциальная геометрия многообразий фигур
A detailed obtaining of the expressions for the scalar components of the canonical form on higher order frame bundles over a smooth manifold has been done.
A. V. Kuleshov
doaj   +1 more source

Integrable almost s-tangent structures [PDF]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 1994
We prove that an integrable almost s–tangent manifold which defines a fibration over a differentiable manifold M is a vector bundle over M isomorphic to the stable tangent bundle of M.
M. DE LEON, J. A. OUBINA, M. SALGADO
doaj  

Uniformity of Vector Bundles of Finite Rank on Complete Intersections of Finite Codimension in a Linear ind-Grassmannian

open access: yesМоделирование и анализ информационных систем, 2015
A linear projective ind-variety X is called 1-connected if any two points on it can be connected by a chain of lines l1, l2, ..., lk in X, such that li intersects li+1.
S. M. Yermakova
doaj   +1 more source

Brill-Noether-general limit root bundles: absence of vector-like exotics in F-theory Standard Models

open access: yesJournal of High Energy Physics, 2022
Root bundles appear prominently in studies of vector-like spectra of 4d F-theory compactifications. Of particular importance to phenomenology are the Quadrillion F-theory Standard Models (F-theory QSMs).
Martin Bies   +3 more
doaj   +1 more source

Chern classes of tropical vector bundles [PDF]

open access: yesarXiv, 2009
We introduce tropical vector bundles, morphisms and rational sections of these bundles and define the pull-back of a tropical vector bundle and of a rational section along a morphism. Afterwards we use the bounded rational sections of a tropical vector bundle to define the Chern classes of this bundle and prove some basic properties of Chern classes ...
arxiv  

Stability of complex vector bundles [PDF]

open access: yesJournal of Differential Geometry, 1996
Stability of complex vector ...
Gang Tian   +2 more
openaire   +2 more sources

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