Results 1 to 10 of about 193,300 (324)
Principal Bundle Structure of Matrix Manifolds
Mathematics, 2021 In this paper, we introduce a new geometric description of the manifolds of matrices of fixed rank. The starting point is a geometric description of the Grassmann manifold Gr(Rk) of linear subspaces of dimension ...
Marie Billaud-Friess +2 more
doaj +4 more sources
Characteristic principal bundles [PDF]
Transactions of the American Mathematical Society, 1975 Characteristic principal bundles are the duals of commutative twisted group algebras. A principal bundle with locally compact second countable (Abelian) group and base space is characteristic iff it supports a continuous eigenfunction for almost every character measurably in the characters, also iff it is the quotient by Z of a principal E-bundle for ...
Harvey A. Smith
openalex +4 more sources
Power maps and principal bundles [PDF]
Proceedings of the American Mathematical Society, 1977 Let G be a path connected topological group. We investigate the integers m for which the mth power map on G extends to an overmap of principal G-bundles.
J. L. Noakes
+5 more sources
Principal bundles on elliptic fibrations [PDF]
Asian Journal of Mathematics, 1997 A central role in recent investigations of the duality of F-theory and heterotic strings is played by the moduli of principal bundles, with various structure groups G, over an elliptically fibered Calabi-Yau manifold on which the heterotic theory is compactified.
Ron Donagi
+7 more sources
On principal $G_2$ bundles [PDF]
Asian Journal of Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Subramanian
openalex +4 more sources
On connections on principal bundles
Arab Journal of Mathematical Sciences, 2017 A new construction of a universal connection was given in Biswas, Hurtubise and Stasheff (2012). The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle E over a compact Riemann surface admits
Indranil Biswas
doaj +3 more sources
Stable Higgs bundles over positive principal elliptic fibrations
Complex Manifolds, 2018 Let M be a compact complex manifold of dimension at least three and Π : M → X a positive principal elliptic fibration, where X is a compact Kähler orbifold. Fix a preferred Hermitian metric on M.
Biswas Indranil +2 more
doaj +2 more sources
Principal non-commutative torus bundles [PDF]
Proceedings of the London Mathematical Society, 2008 In this paper we study continuous bundles of C*-algebras which are non-commutative analogues of principal torus bundles. We show that all such bundles, although in general being very far away from being locally trivial bundles, are at least locally trivial with respect to a suitable bundle version of bivariant K-theory (denoted RKK-theory) due to ...
Echterhoff, Siegfried +2 more
openaire +11 more sources
T-duality for principal torus bundles [PDF]
Journal of High Energy Physics, 2004 9 pages, typos removed and minor corrections ...
Peter Bouwknegt +2 more
openalex +8 more sources
Reduction in principal fiber bundles: covariant Euler-Poincare equations
, 1999 Let $\pi:P\to M^n$ be a principal G-bundle, and let ${\mathcal{L}}: J^1P \to\Lambda^n(M)$ be a G-invariant Lagrangian density. We obtain the Euler-Poincare equations for the reduced Lagrangian l defined on ${\mathcal C}(P)$, the bundle of connections on ...
Marco Castrillón López +2 more
openalex +4 more sources