Results 171 to 180 of about 135,026 (217)

Principal bundle, parabolic bundle, and holomorphic connection

, 2003
Let E G be a principal G—bundle over a rationally connected variety, where G is a complex algebraic group. Then any holomorphic connection on E G is flat. We describe a necessary and sufficient condition for a parabolic vector bundle over a Riemann surface to admit a logarithmic connection compatible with the parabolic structure.
I. Biswas
semanticscholar   +3 more sources

Invariant Connections in a Non-Abelian Principal Bundle

Annals of Physics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Hussin, J. Negro, M. A. Delolmo
semanticscholar   +3 more sources

PRINCIPAL BUNDLES ADMITTING A HOLOMORPHIC CONNECTION

International Journal of Mathematics, 1996
Let \(G\) be a complex Lie group and \(M\) a compact connected Kähler manifold. Consider \(0={\mathcal E}_0 \subset {\mathcal E}_1 \subset \dots {\mathcal E}_{l-1} \subset {\mathcal E}_l=T\), the Harder-Narasimhan filtration of the holomorphic tangent bundle \(T\) of \(M\). The following result is proven: Theorem.
I. Biswas
semanticscholar   +3 more sources

Lorentz equations of motion and a theory of connections in a principal bundle.

Physical Review D, 1987
The conjecture that unified nonlinear equations for gravitation and electromagnetism may lead directly to the Lorentz equation of motion for charged particles is discussed assuming a theory of connections on a principal bundle with SL(2,Q) as the structure group.
González-Martín
semanticscholar   +4 more sources

On the bundle of principal connections and the stability of b-incompleteness of manifolds

Mathematical Proceedings of the Cambridge Philosophical Society, 1985
Abstract We make use of the universal connection on the bundle of principal connections; the bundle structure is governed by the action of the group on the first jet bundle. Each section determines a connection in the principal bundle, which in the case of the frame bundle allows a metric completion projecting onto the corresponding b-completion. It
D. Canarutto, C. Dodson
semanticscholar   +4 more sources

Curvature on a Principal Bundle

Introductory Lectures on Equivariant Cohomology, 2020
This chapter examines curvature on a principal bundle. The curvature of a connection on a principal G-bundle is a g-valued 2-form that measures, in some sense, the deviation of the connection from the Maurer-Cartan connection on a product bundle.
L. Tu
semanticscholar   +1 more source

The Universal Connection for Principal Bundles over Homogeneous Spaces and Twistor Space of Coadjoint Orbits

Documenta Mathematica, 2017
Given a holomorphic principal bundle $Q\, \longrightarrow\, X$, the universal space of holomorphic connections is a torsor $C_1(Q)$ for $\text{ad} Q \otimes T^*X$ such that the pullback of $Q$ to $C_1(Q)$ has a tautological holomorphic connection.
I. Biswas, Michael Lennox Wong
semanticscholar   +1 more source

Principal Bundles and Connections

2003
The notion of principal bundle as introduced in Section 1.3 is recalled. Invariant vector fields are then introduced as well as the bundle of vertical automorphisms and the bundle of infinitesimal generators of vertical principal automorphisms. Lie derivatives for principal automorphisms and infinitesimal generators of vertical automorphisms are ...
Mauro Francaviglia, Lorenzo Fatibene
openaire   +2 more sources

Bundle realizations and invariant connections in an Abelian principal bundle

Journal of Mathematical Physics, 1992
In this paper the concept of bundle realization of a Lie group on an Abelian principal bundle is defined. This definition is based on the theory of locally operating realizations of Lie groups. Afterward the bundle realizations are studied and characterized into pseudoequivalence classes.
Mariano A. del Olmo, Javier Negro
openaire   +3 more sources

Principal bundles on compact complex manifolds with trivial tangent bundle

, 2011
Let G be a connected complex Lie group and $${\Gamma \subset G}$$ a cocompact lattice. Let H be a complex Lie group. We prove that a holomorphic principal H-bundle EH over G/Γ admits a holomorphic connection if and only if EH is invariant. If G is simply
I. Biswas
semanticscholar   +1 more source