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15
245
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Showing that a given vector bundle with connection is not trivial

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#differential-geometry #vector-bundles #connections
142
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Non-trivial explicit example of a flat connection

Published on
#riemannian-geometry #vector-bundles #connections
139
Views

Questions regarding Connections, and in particular, Hermitian Connections

Published on
#differential-geometry #riemannian-geometry #complex-geometry #connections
231
Views

Integral curves are horizontal

Published on
#differential-geometry #fiber-bundles #connections
75
Views

Use of Leibniz rule in a proof envolving a metric connection in a vector bundle

Published on
#vector-bundles #connections
25
Views

Given a map $X \to \text{GL}_2(\mathbb{R})$ how do I determine a flat connection on this Riemann surface?

Published on
#vector-bundles #connections #k-theory
189
Views

Connection/Curvature as a matrix of Real valued forms

Published on
#differential-geometry #curvature #connections #principal-bundles
216
Views

Connection $1$-form acting on vector fields

Published on
#differential-geometry #connections #principal-bundles #kahler-manifolds
91
Views

Connecting pipes

Published on
#geometry #connections
184
Views

Geodesics in $\mathbb{R}^n$ with the trivial connection

Published on
#riemannian-geometry #vector-bundles #geodesic #connections #tangent-bundle
83
Views

Connection matrix in orientable 2-bundle is skew-symmetric

Published on
#differential-geometry #vector-bundles #connections
657
Views

covariant derivative and metric compatibility

Published on
#differential-geometry #covariance #connections
89
Views

Coordinate independence of connections

Published on
#differential-geometry #algebraic-topology #connections
482
Views

Existence of connection on dual bundle

Published on
#geometry #differential-geometry #vector-bundles #connections
149
Views

Geometric way to view affine connection and parallel transport.

Published on
#riemannian-geometry #smooth-manifolds #curves #connections

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