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Condition for Ehresmann connection to be linear

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#differential-geometry #vector-bundles #fiber-bundles #connections
542
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Why Does the Second Fundamental Form Restrict to Tangent Spaces?

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#riemannian-geometry #geodesic #connections
355
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Can connections on a principal bundle have torsion?

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#geometry #differential-geometry #riemannian-geometry #fiber-bundles #connections
376
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Explicit Connection on Frame bundle $F\mathbb{R}$

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#differential-geometry #connections
198
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Example of computation of holonomy

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#differential-geometry #lie-algebras #connections
103
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Riemannian-connection equations with one-forms (basic)

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#differential-geometry #riemannian-geometry #differential-forms #connections
971
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Curvature and Christoffel symbols

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#differential-geometry #riemannian-geometry #curvature #connections
146
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Conditions for a Chern Connection

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#differential-geometry #differential-forms #connections #finsler-geometry
22
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when can one find a $G$-connection that makes a particular section constant

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#differential-geometry #connections
253
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Parallel transport and affine connection proof explanation

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#riemannian-geometry #proof-explanation #smooth-manifolds #connections
341
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What is the definition of an equivariant connection

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#reference-request #sheaf-theory #vector-bundles #connections
654
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Prove Levi-Civita connection is torsion free

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#riemannian-geometry #connections
1.2k
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Explicit derivation of the horizontal subspace, connection and covariant derivative.

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#derivatives #differential-geometry #fiber-bundles #connections
205
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Some questions on complex determinants and flat connections on a $U(1)$ bundle

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#differential-geometry #determinant #connections
682
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Umbilic hypersurfaces of the hyperbolic space

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#riemannian-geometry #hyperbolic-geometry #curvature #connections

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