Results 291 to 300 of about 193,300 (324)
Some of the next articles are maybe not open access.
Sbornik: Mathematics, 1999
Summary: The class \(A\) of bundles with the following properties is investigated: each bundle in \(A\) is the composition of a regular cover and a principal bundle (over the covering space) with Abelian structure group; the standard fibre \(G\) of this decomposable bundle is a Lie group; the bundle has an atlas with multivalued transition functions ...
openaire +3 more sources
Summary: The class \(A\) of bundles with the following properties is investigated: each bundle in \(A\) is the composition of a regular cover and a principal bundle (over the covering space) with Abelian structure group; the standard fibre \(G\) of this decomposable bundle is a Lie group; the bundle has an atlas with multivalued transition functions ...
openaire +3 more sources
2002
A very important theorem in the geometry of contact manifolds, and the start of the modern theory, is the Boothby–Wang theorem, which states that a compact regular contact manifold is a principal circle bundle over a symplectic manifold of integral class. We will prove this result in Section 3.3.
openaire +3 more sources
A very important theorem in the geometry of contact manifolds, and the start of the modern theory, is the Boothby–Wang theorem, which states that a compact regular contact manifold is a principal circle bundle over a symplectic manifold of integral class. We will prove this result in Section 3.3.
openaire +3 more sources
On the finite principal bundles [PDF]
Annals of Global Analysis and Geometry, 2008 Let G be a connected linear algebraic group defined over \({\mathbb C}\). Fix a finite dimensional faithful G-module V0. A holomorphic principal G-bundle EG over a compact connected Kahler manifold X is called finite if for each subquotient W of the G-module V0, the holomorphic vector bundle EG(W) over X associated to EG for W is finite.
openaire +1 more source
Archiv der Mathematik, 2007
Let T be a complex torus and E T a holomorphic principal T-bundle over a connected complex manifold M. We prove that the total space of E T admits a Kahler structure if and only if M admits a Kahler structure and E T admits a flat holomorphic ...
openaire +2 more sources
Let T be a complex torus and E T a holomorphic principal T-bundle over a connected complex manifold M. We prove that the total space of E T admits a Kahler structure if and only if M admits a Kahler structure and E T admits a flat holomorphic ...
openaire +2 more sources
Connections on Principal Bundles
2015The topic of this chapter has become standard in modern treatments of differential geometry. The very words of the title have even been incorporated into part of a common cliche: Gauge theory is a connection on a principal bundle. We will come back to this relation between physics and geometry in Chapter 14 But just on the geometry side there has been ...
openaire +2 more sources
Stable Pairs and Principal Bundles
The Quarterly Journal of Mathematics, 2000Let \(K\) be a connected compact Lie group, \(G\) its complexification, \(X\) a compact Kähler manifold, and \(E\to X\) be a principal holomorphic \(G\)-bundle over \(X\). Let \(W\) be a complex vector space and \(\rho: K\to U(W)\) a unitary representation of \(K\), which lifts to a representation \(\widetilde\rho\) of \(G\) and let \(V\to X\) be the ...
openaire +2 more sources
Connections on a Principal Bundle
2020This chapter discusses connections on a principal bundle. Throughout the chapter, G will be a Lie group with Lie algebra g. One possible definition of a connection on a principal G-bundle P is a C∞ right-invariant horizontal distribution on P. Equivalently, a connection on P can be given by a right-equivariant g-valued 1-form on P that is the identity ...
openaire +1 more source
2015
The importance of the role of principal fiber bundles in classical differential geometry and physics is well established. We now consider the generalization of this structure in the context of noncommutative geometry. The material in this chapter is based on several of Micho Ðurđevich’s papers (see especially [22] and [26] but also [21] and [23]).
openaire +2 more sources
The importance of the role of principal fiber bundles in classical differential geometry and physics is well established. We now consider the generalization of this structure in the context of noncommutative geometry. The material in this chapter is based on several of Micho Ðurđevich’s papers (see especially [22] and [26] but also [21] and [23]).
openaire +2 more sources
Autophagy and autophagy-related pathways in cancer
Nature Reviews Molecular Cell Biology, 2023, Kevin M Ryan
exaly
1979
A principal bundle E over a space X ( or a G-bundle, for short ) is a space E onwhich G operates (from the right ) and a G-invariant morphism p: E ~ X which is locally trivial in the etale topology, i.e. for every point x of X there is a neighbourhood U of x and an etale covering f: U' ~ U such that there is a G-equivariant isomorphism of f(E) with U'x
openaire +2 more sources
A principal bundle E over a space X ( or a G-bundle, for short ) is a space E onwhich G operates (from the right ) and a G-invariant morphism p: E ~ X which is locally trivial in the etale topology, i.e. for every point x of X there is a neighbourhood U of x and an etale covering f: U' ~ U such that there is a G-equivariant isomorphism of f(E) with U'x
openaire +2 more sources