Results 21 to 30 of about 330,065 (353)

Generalization of a criterion for semistable vector bundles [PDF]

, 2008
It is known that a vector bundle E on a smooth projective curve Y defined over an algebraically closed field is semistable if and only if there is a vector bundle F on Y such that the cohomologies of E\otimes F vanish.
Biswas, Indranil, Hein, Georg
core   +2 more sources

On double vector bundles

Acta Mathematica Sinica, English Series, 2014
In this paper, we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector bundles. Moreover, operations on double vector bundles can be transferred to operations on the corresponding short exact sequences. In particular, we study the duality theory of double vector bundles in term
Zhangju Liu, Zhuo Chen, Yunhe Sheng
openaire   +3 more sources

Horrocks Correspondence on a Quadric Surface [PDF]

, 2013
We extend the Horrocks correspondence between vector bundles and cohomology modules on the projective plane to the product of two projective lines.
Malaspina, F., Rao, A. P.
core   +1 more source

ON THE STRATIFIED VECTOR BUNDLES [PDF]

International Journal of Mathematics, 2009
The stratified vector bundles on a smooth variety defined over an algebraically closed field k form a neutral Tannakian category over k. We investigate the affine group-scheme corresponding to this neutral Tannakian category.
openaire   +3 more sources

Structure theorem for Jordan algebra bundles [PDF]

Arab Journal of Mathematical Sciences
Purpose – The aims of this paper is to prove that every semisimple Jordan algebra bundle is locally trivial and establish the decomposition theorem for locally trivial Jordan algebra bundles using the decomposition theorem of Lie algebra bundles.
Ranjitha Kumar
doaj   +1 more source

Regulous vector bundles

Mathematische Nachrichten, 2018
AbstractAmong recently introduced new notions in real algebraic geometry is that of regulous functions. Such functions form a foundation for the development of regulous geometry. Several interesting results on regulous varieties and regulous sheaves are already available. In this paper, we define and investigate regulous vector bundles.
Kucharz, Wojciech, Zieliński, Maciej
openaire   +4 more sources

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

OBSTRUCTIONS TO ALGEBRAIZING TOPOLOGICAL VECTOR BUNDLES

Forum of Mathematics, Sigma, 2019
Suppose $X$ is a smooth complex algebraic variety. A necessary condition for a complex topological vector bundle on $X$ (viewed as a complex manifold) to be algebraic is that all Chern classes must be algebraic cohomology classes, that is, lie in the ...
A. ASOK, J. FASEL, M. J. HOPKINS
doaj   +1 more source

Weakly uniform rank two vector bundles on multiprojective spaces [PDF]

, 2010
Here we classify the weakly uniform rank two vector bundles on multiprojective spaces. Moreover we show that every rank $r>2$ weakly uniform vector bundle with splitting type $a_{1,1}=...=a_{r,s}=0$ is trivial and every rank $r>2$ uniform vector bundle ...
Ballico, Edoardo, Malaspina, Francesco
core   +3 more sources

Some calculations on Kaluza-Klein metric with respect to lifts in tangent bundle

Boletim da Sociedade Paranaense de Matemática, 2022
In the present paper, a Riemannian metric on the tangent bundle, which is another generalization of Cheeger-Gromoll metric and Sasaki metric, is considered.
Haşim Çayir
doaj   +1 more source