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15
207
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Check or falsify: there is a $C^\infty$ surjective map $S^1 \to S^1 \times S^1$.

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#geometry #differential-geometry #manifolds
100
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Showing a specific projection has a regular value

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#manifolds #differential-topology #smooth-manifolds #tangent-bundle
598
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A cone is no manifold

Published on
#general-topology #manifolds
1.6k
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Can I comb unoriented hair on a ball?

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#algebraic-topology #manifolds #vector-fields #line-bundles
30
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Convexity of non-compact, ball-connected sets

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#general-topology #manifolds #geometric-topology #convex-geometry
110
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Milnor's proof that the kernel of the derivative is a certain tangent spce.

Published on
#analysis #differential-geometry #manifolds #smooth-manifolds
241
Views

Find the stable manifold of this system.

Published on
#manifolds #exponential-function #dynamical-systems #self-learning
170
Views

Does every point in a manifold has a open orientable neighborhood?

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#differential-geometry #manifolds #smooth-manifolds
118
Views

confusion about geodesics

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#differential-geometry #manifolds #geodesic
20
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Negation of Content 0

Published on
#logic #manifolds
99
Views

In an $n$-dimensional manifold, can we say it has $n-k$ compact and $k$ noncompact dimensions?

Published on
#manifolds #differential-topology #mathematical-physics
122
Views

Prove that the space of $C^r$ functions is dense in the set of continuous functions on a smooth manifold.

Published on
#differential-geometry #manifolds #smooth-manifolds
354
Views

Immersion of non-orientable manifold in a small orientable one

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#differential-geometry #manifolds #smooth-manifolds #orientation #non-orientable-surfaces
91
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Normal of a regular surface

Published on
#geometry #differential-geometry #manifolds #surfaces #cross-product
1.2k
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Parallel Transport along a sphere

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#differential-geometry #manifolds #riemannian-geometry #riemann-surfaces #general-relativity

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