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15
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Can I construct an affine connection on a Riemannian manifold from arbitrary Christoffel Symbols?

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#differential-geometry #riemannian-geometry #connections
117
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Connections in GL(2,R)

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#differential-geometry #connections
662
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Almost complex structure compatible with Levi-Civita connection of immersed submanifold?

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#manifolds #riemannian-geometry #kahler-manifolds #complex-manifolds #connections
1.5k
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Prove the existence (or well-definedness) of the induced connection in tensor bundle

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#differential-geometry #vector-bundles #smooth-manifolds #connections
322
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What is a "connection" in algebraic terms?

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#abstract-algebra #reference-request #connections
123
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Terminologies for induced connections

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#differential-geometry #connections
1.8k
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Splitting of the tangent bundle of a vector bundle and connections

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#differential-geometry #vector-bundles #exact-sequence #connections
355
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Exact sequence of tangent spaces of principal $G$-bundles

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#exact-sequence #smooth-manifolds #principal-bundles #connections
1.6k
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Affine connection on a Lie group.

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#differential-geometry #differential-topology #lie-groups #lie-algebras #connections
433
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Canonical connection on $CP^n$

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#differential-geometry #fiber-bundles #principal-bundles #connections #homogeneous-spaces
1.8k
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Connections on principal bundles and vector bundles

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#differential-geometry #vector-bundles #principal-bundles #connections
135
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How are the components of a connection on a homogenous space related to the Mauer-Cartan form?

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#differential-geometry #lie-groups #lie-algebras #principal-bundles #connections
252
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Lecture notes on holomorphic Yang-Mills theory

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#reference-request #mathematical-physics #complex-geometry #gauge-theory #connections
2k
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Relation between geodesics and exponential map for Lie groups

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#differential-geometry #geodesic #connections
224
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Invariant characterization of vector bundles associated to a principal bundle?

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

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