Results 1 to 10 of about 43,636 (311)

Anti-ample bundle, nef vector bundle, big vector bundle [PDF]

7 pages.
Biswas, Indranil, Laytimi, Fatima, Nagaraj, D. S., Nahm, Werner   +3 more
openaire   +3 more sources

Affine analogues of the Sasaki-Shchepetilov connection

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016
For two-dimensional manifold M with locally symmetric connection ∇ and with ∇-parallel volume element vol one can construct a flat connection on the vector bundle TM⊕E, where E is a trivial bundle.
Maria Robaszewska
doaj   +1 more source

The Lie Algebra of Smooth Sections of a T-bundle

International Journal of Industrial Engineering and Production Research, 2006
In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle.
M. Nadjafikhah, H. R. Salimi Moghaddam
doaj  

Internal functionals and bundle duals

International Journal of Mathematics and Mathematical Sciences, 1984
If π:E→X is a bundle of Banach spaces, X compact Hausdorff, a fibered space π*:E*→X can be constructed whose stalks are the duals of the stalks of the given bundle and whose sections can be identified with the “functionals” studied by Seda in [1] and [2]
Joseph W. Kitchen, David A. Robbins
doaj   +1 more source

Note on the group of vertical diffeomorphisms of a principal bundle & its relation to the Frölicher-Nijenhuis bracket

Journal of High Energy Physics
The group of vertical diffeomorphisms of a principal bundle forms the action Lie groupoid associated to the bundle. The former is generated by the group of maps with value in the structure group, which is also the group of bisections of the groupoid. The
J. François
doaj   +1 more source

Ricci Bi-Conformal and m-Modified Conformal Vector Fields: A Study With Respect to the Riemannian Extension Metric

Journal of Mathematics
This article explores the necessary and sufficient conditions for a vector field on the cotangent bundle of a Riemannian manifold to qualify as an m− modified conformal vector field or a Ricci bi-conformal vector field.
Lokman Bilen, Aydin Gezer, Cagri Karaman
doaj   +1 more source

On the Resonance Varieties of Vector Bundles on Curves

Mathematics
We use the resonance (Papadima, Sociu, Aprodu and others) to study vector bundles E on a smooth curve X of genus g. Our key observation is that if we know it for a specific integer c, then we get strong information on X and E. Fix an integer c≥g+1.
Edoardo Ballico
doaj   +1 more source

Monodromy of a Class of Logarithmic Connections on an Elliptic Curve

Symmetry, Integrability and Geometry: Methods and Applications, 2007
The logarithmic connections studied in the paper are direct images of regular connections on line bundles over genus-2 double covers of the elliptic curve.
Francois-Xavier Machu
doaj  

Horizontal Forms of Chern Type on Complex Finsler Bundles

Symmetry, Integrability and Geometry: Methods and Applications, 2010
The aim of this paper is to construct horizontal Chern forms of a holomorphic vector bundle using complex Finsler structures. Also, some properties of these forms are studied.
Cristian Ida
doaj   +1 more source

Holomorphic vector bundles on holomorphically convex surface

Le Matematiche, 2000
Here we study holomorphic vector bundles on a two-dimensional holomorphically convex complex manifold Y . We present some characterizations of Y under which torsion free sheaves are filtrable.
Edoardo Ballico, Elizabeth Gasparim
doaj