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15
57
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Classifying maps and transition functions

Published on
#algebraic-topology #homotopy-theory #fiber-bundles #principal-bundles #classifying-spaces
144
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Curvature forms as exterior covariant derivative?

Published on
#differential-geometry #differential-forms #curvature #principal-bundles
53
Views

What is $\times_G$ in this context?

Published on
#lie-groups #lie-algebras #group-actions #principal-bundles
174
Views

What is the description of the (local) sections of the associated vector bundle of a principal bundle?

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#differential-geometry #vector-bundles #connections #principal-bundles
547
Views

Structure Group of a Principal G Bundle is G

Published on
#differential-geometry #differential-topology #fiber-bundles #principal-bundles
500
Views

Vertical bundle of a principal bundle. Isn't it always trivial?

Published on
#smooth-manifolds #vector-bundles #fiber-bundles #principal-bundles
215
Views

Rational Euler number of oriented Seifert manifolds

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#smooth-manifolds #group-actions #fiber-bundles #principal-bundles
80
Views

How to prove two curves in the frame bundle to project to the same curve on base manifold?

Published on
#geometry #differential-geometry #riemannian-geometry #principal-bundles #cartan-geometry
214
Views

Induced Connection on Vector Bundle from Principal Bundle

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#vector-bundles #connections #principal-bundles
56
Views

Problem of connectdness with Orthonormal frame bundle O(M)

Published on
#general-topology #differential-geometry #lie-groups #riemannian-geometry #principal-bundles
117
Views

Fixed point property for the total space and base space of a principal bundle

Published on
#smooth-manifolds #fixed-point-theorems #principal-bundles
175
Views

Covariant derivative of a section of a trivial(?) associated bundle

Published on
#differential-geometry #mathematical-physics #fiber-bundles #principal-bundles
220
Views

In a principal $G$-bundle $\pi: P \to M$ there is a right action on $P$ such that $M \cong P/G$

Published on
#differential-geometry #fiber-bundles #principal-bundles
49
Views

What is the relation between structure groups or transition functions of two isomorphic vector bundles?

Published on
#vector-bundles #principal-bundles #spin-geometry #line-bundles
721
Views

If a principal bundle has a global section, then it is the trivial bundle

Published on
#differential-geometry #lie-groups #fiber-bundles #principal-bundles

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