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Surjective differentiable map is an isometry

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#differential-geometry #riemannian-geometry #hyperbolic-geometry #isometry
124
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When (if ever) does a connection on a Lie manifold G define that groups Lie algebra?

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#differential-geometry #lie-groups #lie-algebras #connections
96
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Can a manifold have more than one maximal (incompatible) atlas?

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#differential-geometry
59
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Why $ (X(g_1), X(g_2),\cdots, X(g_n))=\operatorname{d}Y(X) $?

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#differential-geometry #riemannian-geometry
102
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Tensor Product over quaternions

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#differential-geometry #quaternions
49
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Matrix associated of an application between tangent spaces

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#differential-geometry #manifolds #tangent-spaces
2.2k
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Functions on a manifold

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#differential-geometry #manifolds
453
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Spivak Differential Geometry 1 Chapter 1 Problem 8

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#general-topology #differential-geometry #continuity #open-map
28
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Why do we include the opposite value in the circle unit of a critical number if it falls in the domain?

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#calculus #trigonometry #differential-geometry
117
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What does $du^2$ notation mean in differential geometry?

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#complex-analysis #differential-geometry
948
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Non-vanishing vector field on a manifold..

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#differential-geometry #manifolds #differential-topology
81
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Research trends on mean curvature flow

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#differential-geometry #research #mean-curvature-flows
314
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Two flat tori are isometric iff their lattices are isometric?

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#differential-geometry #riemannian-geometry
343
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Confused on the beginning of the proof of Stokes theorem (simplicial homology version)

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#calculus #integration #differential-geometry #smooth-manifolds
39
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Measure of Subspace Swept Out by Another

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#real-analysis #differential-geometry #euclidean-geometry #lebesgue-integral #geometric-measure-theory

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