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Invariant manifold — tangent space

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#manifolds
216
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If $f:M \to N$ is a local homeomorphism between manifolds and closed then the map $f$ is proper?

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#general-topology #manifolds
1k
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Lie bracket of vector fields independent the choice of coordinates

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#calculus #geometry #differential-geometry #manifolds #smooth-manifolds
492
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Non-metrizable smooth manifold?

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#general-topology #manifolds #smooth-manifolds
135
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Showing a subset is a submanifold of $T^2$

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#differential-geometry #manifolds #differential-topology
113
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Calculating the derivative of a mapping $\varphi: S^2 \rightarrow S^2$

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#derivatives #manifolds #tangent-spaces
1k
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Do all compact manifolds have finite volume?

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#manifolds #volume
628
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Soft question:Intuition for tangent space

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#soft-question #manifolds #intuition
150
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Rigorous definition of tangent space

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#reference-request #manifolds #smooth-manifolds
42
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can a basis for the tangent space of a manifold be found without any use of charts?

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#differential-geometry #manifolds #differential-topology #smooth-manifolds
52
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$U\subset \mathbb{R}^d$ open connected, $\varphi:U\to \mathbb{R}^m$ differentiable, injective, regular. Is $\varphi\left (U\right )$ a manifold?

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#real-analysis #differential-geometry #manifolds #smooth-manifolds
271
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Alexander polynomial of a knot vs Alexander polynomial of a knot exterior.

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#manifolds #knot-theory #knot-invariants
407
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Stiefel manifold is a manifold

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#general-topology #manifolds #stiefel-manifolds
1.5k
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Orientable manifold $M$ ,then $\partial M$ is orientable

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#algebraic-topology #manifolds #orientation #manifolds-with-boundary
84
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Rectangular matrices

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#matrices #manifolds #matrix-decomposition

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