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15
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a problem related with path lifting property

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#algebraic-topology #manifolds
2.5k
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Levi-Civita-connection of an embedded submanifold is induced by the orthogonal projection of the Levi-Civita-connection of the original manifold

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#differential-geometry #manifolds #riemannian-geometry #connections
110
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Possible condition on locally Euclidean subsets of Euclidean space to be embedded submanifold

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#calculus #differential-geometry #manifolds #smooth-manifolds
75
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Using the calculus of one forms prove this identity

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#differential-geometry #proof-verification #manifolds #differential-forms #vector-fields
466
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"Defining a smooth structure on a topological manifold with boundary"

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#manifolds #smooth-manifolds #manifolds-with-boundary
129
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On the differentiable manifold definition given by Serge Lang

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#differential-geometry #manifolds
79
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Equivalence of different "balls" in Riemannian manifold.

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#differential-geometry #manifolds #riemannian-geometry
1.5k
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Hyperboloid is a manifold

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#real-analysis #manifolds #differential-topology #smooth-manifolds
356
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Integration of one-form

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#proof-verification #manifolds #differential-forms #stokes-theorem #manifolds-with-boundary
2.4k
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The graph of a smooth map is a manifold

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#real-analysis #manifolds #differential-topology #smooth-manifolds
270
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domain of exponential map for a compact manifold

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#differential-geometry #manifolds #riemannian-geometry
348
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Which level sets of a function are submanifolds

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#general-topology #manifolds
482
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A finite group G acts freely on a simply connected manifold M

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#differential-geometry #algebraic-topology #manifolds #lie-groups #smooth-manifolds
850
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Are closed (topological) submanifold in $\mathbb R^n$ of codimension 1 orientable?

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#algebraic-topology #manifolds #orientation
683
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What does it mean by standard coordinates on $R^n$

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#manifolds #smooth-manifolds

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