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15
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Symplectic reduction and the isotropy group

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#differential-geometry #lie-groups #lie-algebras #symplectic-geometry #tangent-bundle
344
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Differential structures of sum bundle, tangent bundle, dual bundle, tensor bundle, quotient bundle, etc

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#differential-geometry #vector-bundles #tangent-bundle
1.1k
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Tangent Space for Torus

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#manifolds #smooth-manifolds #tangent-bundle #tangent-spaces
663
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Is there a canonical way of lifting a vector field $X$ on $M$ to its tangent bundle $TM$?

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#differential-geometry #vector-fields #classical-mechanics #tangent-bundle
75
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Question about diffeomorphisms of tungent bundles.

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#smooth-manifolds #tangent-bundle #diffeomorphism
174
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Transition functions of the tangent bundle of a projective variety.

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#algebraic-geometry #vector-bundles #tangent-bundle
394
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If $M$ be a submanifold of $N$, is true that $TM$ is a submanifold of $TN$?

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#smooth-manifolds #tangent-bundle
348
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Prove that $SO(n)$ is parallelizable

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#linear-algebra #differential-geometry #lie-groups #tangent-bundle
2k
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Connection 1-forms?

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#differential-geometry #riemannian-geometry #differential-forms #connections #tangent-bundle
118
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Degree of canonical bundle

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#algebraic-geometry #tangent-bundle
489
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Clarifying some details about Orientability of Surfaces using Vector Fields

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#differential-geometry #tangent-bundle #non-orientable-surfaces
61
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Explanation for the relation of a metric tensor in a vector space and the metric function on topological spaces

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#differential-geometry #metric-spaces #tensors #tangent-bundle
38
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Existence of dense velocity curve on connected manifold

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#differential-geometry #differential-topology #vector-bundles #vector-fields #tangent-bundle
131
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Corresponding flow on cotangent bundle

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#differential-geometry #symplectic-geometry #tangent-bundle #co-tangent-space
350
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Are vector fields really sections of the tangent bundle?

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#vector-spaces #vector-bundles #vector-fields #tangent-bundle #tangent-spaces

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