Results 81 to 90 of about 334,943 (256)

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

Memoirs 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  

Polystable bundles and representations of their automorphisms

Complex Manifolds, 2022
Using a quasi-linear version of Hodge theory, holomorphic vector bundles in a neighbourhood of a given polystable bundle on a compact Kähler manifold are shown to be (poly)stable if and only if their corresponding classes are (poly)stable in the sense of
Buchdahl Nicholas, Schumacher Georg
doaj   +1 more source

Canonical Involution on Double Jet Bundles [PDF]

arXiv, 2016
In this study, we generalize double tangent bundles to double jet bundles. We present a secondary vector bundle structure on a 1-jet of a vector bundle. We show that 1-jet of a vector bundle carries two vector bundle structures, namely primary and secondary structures.
arxiv  

Splitting 3-plane sub-bundles over the product of two real projective spaces

Boletim da Sociedade Paranaense de Matemática, 2003
Let α be a real vector bundle of fiber dimension three over the product RP(m)×RP(n) which splits as a Whitney sum of line bundles. We show that the necessary and sufficient conditions for α to embed as a sub-bundle of a certain family of vector bundles β of
Maria Hermínia de Paula Leite Mello, Mário Olivero Marques da Silva   +1 more
doaj  

Integrable almost s-tangent structures [PDF]

Rendiconti 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  

Monads and vector bundles on quadrics [PDF]

advg, 2008
Abstract We improve Ottaviani's splitting criterion for vector bundles on a quadric hypersurface and obtain the equivalent of the result by Rao, Mohan Kumar and Peterson. Then we give the classification of rank 2 bundles without “inner” cohomology on 𝒬 n (n > 3).
openaire   +4 more sources

Morita Equivalences of Vector Bundles [PDF]

International Mathematics Research Notices, 2018
Abstract We study vector bundles over Lie groupoids, known as VB-groupoids, and their induced geometric objects over differentiable stacks. We establish a fundamental theorem that characterizes VB-Morita maps in terms of fiber and basic data, and use it to prove the Morita invariance of VB-cohomology, with implications to deformation ...
Cristian Ortiz, Matias del Hoyo
openaire   +4 more sources

Flat Vector Bundles over Parallelizable Manifolds [PDF]

arXiv, 1997
We study flat vector bundles over complex parallelizable manifolds.
arxiv  

Higgs bundles twisted by a vector bundle

International Journal of Mathematics
In this paper, we consider a generalization of the theory of Higgs bundles over a smooth complex projective curve in which the twisting of the Higgs field by the canonical bundle of the curve is replaced by a rank [Formula: see text] vector bundle. We define a Hitchin map and give a spectral correspondence.
Guillermo Gallego, Oscar García-Prada, M. S. Narasimhan   +2 more
openaire   +4 more sources

Vector Bundles over Projectivoid Line [PDF]

arXiv, 2017
In this article we describe vector bundles over projectivoid line and show how it is similar to (and different) from Gorthendieck's classification of vector bundles over projective line.
arxiv