Results 201 to 210 of about 1,915,753 (240)

On Vanishing Theorems for Vector Bundle Valued p-Forms and their Applications

, 2010
Let F : [0, ∞) → [0, ∞) be a strictly increasing C2 function with F(0) = 0. We unify the concepts of F-harmonic maps, minimal hypersurfaces, maximal spacelike hypersurfaces, and Yang-Mills Fields, and introduce F-Yang-Mills fields, F-degree, F-lower ...
Yuxin Dong, S. Wei
semanticscholar   +1 more source

Vector Bundle Moduli and Small Instanton Transitions

, 2002
We give the general presciption for calculating the moduli of irreducible, stable SU(n) holomorphic vector bundles with positive spectral covers over elliptically fibered Calabi-Yau threefolds.
E. Buchbinder, R. Donagi, B. Ovrut
semanticscholar   +1 more source

Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory

, 2002
The non-perturbative superpotential generated by a heterotic superstring wrapped once around a genus-zero holomorphic curve is proportional to the Pfaffian involving the determinant of a Dirac operator on this curve.
E. Buchbinder, R. Donagi, B. Ovrut
semanticscholar   +1 more source

Vector-bundle classes form powerful tool for scientific visualization

, 1992
A vector-bundle data model is considered focusing on the mathematical structure of vector bundles and the object oriented implementation of the model.
D. M. Butler, S. Bryson
semanticscholar   +1 more source

A criterion for the existence of a flat connection on a parabolic vector bundle.

, 2002
We define holomorphic connection on a parabolic vector bundle over a Riemann surface and prove that a parabolic vector bundle admits a holomorphic connection if and only if each direct summand of it is of parabolic degree zero.
I. Biswas
semanticscholar   +1 more source

On the inverse problem of determining a connection on a vector bundle

, 2000
- We consider the problem of determining a connection on a vector bundle over a compact Riemannian manifold with boundary from the known parallel transport between boundary points along geodesics.
V. Sharafutdinov
semanticscholar   +1 more source

A Criterion for the Splitting of a Vector Bundle

, 1990
Gives a criterion for the Splitting of a vector bündle on projective space. 1980 Mathematics Subject Classification (1985 Revision): 14F05. A locally free coherent sheaf !F on P splits if it is isomorphic to the sum &pn of invertible sheaves. We will say
G. Kempf
semanticscholar   +1 more source

Vector bundle representations of groups in quantum physics

, 1983
The theory of vector bundle representations of Lie groups G is developed. Induced and locally operating linear representations of G are shown to be generated by vector bundle representations, and gauge equivalence of locally operating linear ...
M. Asorey, J. Cariñena, M. Olmo
semanticscholar   +1 more source

The direct image of a vector bundle

Mathematical Proceedings of the Cambridge Philosophical Society, 1967
It is well known that if M is a vector bundle over a space Y, and r: X → Y is a map, then there is an ‘induced’ vector bundle r*M over X. It is also known that a vector bundle L over X determines a ‘direct image’ vector bundle r* L over Y provided that r
R. Schwarzenberger
semanticscholar   +1 more source

On the geometry of a special determinantal hypersurface associated to the Mumford-Horrocks vector bundle.

, 1986
ly G is isomorphic to a semi-direct product of the Symmetrie group on 5 elements with the normal subgroup (Z/5Z). Let N denote, s in [12], the group of symmetries of the Mumford-Horrocks vector b ndle.
Chad Schoen
semanticscholar   +1 more source