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15
76
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What is meant by an Orthogonal $1$-form

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#differential-geometry #definition #fiber-bundles #principal-bundles #holonomy
295
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Recovering Curvature Endomorphism out of Holonomy

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#differential-geometry #riemannian-geometry #curvature #holonomy
168
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What is the holonomy of homogenous spaces?

Published on
#differential-geometry #lie-groups #riemannian-geometry #holonomy
296
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Holonomy group of quotient manifold

Published on
#riemannian-geometry #holonomy
4k
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Does the Levi-Civita connection determine the metric?

Published on
#riemannian-geometry #connections #holonomy
253
Views

What is the difference between a complex Hyperkähler manifold and a non- Hyperkähler manifold??

Published on
#differential-geometry #manifolds #smooth-manifolds #complex-manifolds #holonomy
97
Views

Why are equivalent "a connection form is reducible" and "a connection generated by the connection form preserves a metric"?

Published on
#differential-geometry #fiber-bundles #connections #holonomy
102
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Holonomy of a path

Published on
#differential-geometry #foliations #holonomy
91
Views

Homology of pair

Published on
#homology-cohomology #exact-sequence #holonomy
113
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Conjugating the curvature with a parallel transport operator does not make sense

Published on
#differential-geometry #vector-bundles #holonomy
86
Views

Parallel transport over curves and velocity dependence

Published on
#differential-geometry #riemannian-geometry #holonomy
177
Views

Holonomy group as a Lie group

Published on
#differential-geometry #lie-groups #lie-algebras #smooth-manifolds #holonomy
91
Views

Holonomy and Infinitesimal Rotation

Published on
#differential-geometry #holonomy
904
Views

What does holonomy measure?

Published on
#differential-geometry #riemannian-geometry #connections #holonomy
184
Views

Is this figure interpretable in terms of Holonomy Group and connections with different metrics?

Published on
#riemann-surfaces #orthonormal #connections #holonomy

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