Results 21 to 30 of about 2,362,828 (289)

On piecewise trivial Hopf—Galois extensions [PDF]

, 2006
We discuss a noncommutative generalization of compact principal bundles that can be trivialized relative to the finite covering by closed sets.
Zieliński, B., Kraehmer, U.
core   +1 more source

Bundles over Quantum RealWeighted Projective Spaces

Axioms, 2012
The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed. Principal U(1)-bundles over quantum real weighted projective spaces are constructed.
Tomasz Brzeziński, Simon A. Fairfax
doaj   +1 more source

Principal toroidal bundles over Cauchy-Riemann products

International Journal of Mathematics and Mathematical Sciences, 1990
The main result we obtain is that given π:N→M a Ts-subbundle of the generalized Hopf fibration π¯:H2n+s→ℂPn over a Cauchy-Riemann product i:M⊆ℂPn, i.e.
L. Maria Abatangelo, Sorin Dragomir
doaj   +1 more source

Equivariant principal bundles for G–actions and G–connections

Complex Manifolds, 2015
Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection.
Biswas Indranil, Kannan S. Senthamarai, Nagaraj D. S.   +2 more
doaj   +1 more source

Curvature and torsion pseudotensors of coaffine connection in tangent bundle of hypercentred planes manifold

Дифференциальная геометрия многообразий фигур, 2020
The hypercentered planes family, whose dimension coincides with dimension of generating plane, is considered in the projective space. Two principal fiber bundles arise over it.
A.V. Vyalova
doaj   +1 more source

A CRITERION FOR HOMOGENEOUS PRINCIPAL BUNDLES [PDF]

International Journal of Mathematics, 2010
We consider principal bundles over G/P, where P is a parabolic subgroup of a semi-simple and simply connected linear algebraic group G defined over ℂ. We prove that a holomorphic principal H-bundle EH → G/P, where H is a complex reductive group, and is homogeneous if the adjoint vector bundle ad (EH) is homogeneous. Fix a faithful H-module V.
Biswas, Indranil, Trautmann, Günther
openaire   +3 more sources

Exotic structures on quotient spaces of S3-actions

International Journal of Mathematics and Mathematical Sciences, 1996
A correct version of some results by A. Rigas regarding S3 actions on S7×S3 and on the symplectic group Sp2 with quotients exotic seven-spheres is presented.
L. Astey, E. Micha, G. Pastor
doaj   +1 more source

Principal bundles with parabolic structure [PDF]

, 2001
We define a principal bundle analog of vector bundles with parabolic structure over a normal crossing divisor. Various results on parabolic vector bundles and usual principal bundles are extended to the context of parabolic principal ...
Nagaraj, D. S., Balaji, V., Biswas, I.
core   +2 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, Mj Mahan, Verbitsky Misha   +2 more
doaj   +1 more source

Manifold Learning via the Principle Bundle Approach

Frontiers in Applied Mathematics and Statistics, 2018
In this paper, we propose a novel principal bundle model and apply it to the image denoising problem. This model is based on the fact that the patch manifold admits canonical groups actions such as rotation.
Chen-Yun Lin, Arin Minasian, Xin Jessica Qi, Hau-Tieng Wu, Hau-Tieng Wu, Hau-Tieng Wu   +5 more
doaj   +1 more source