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Show that there exists no immersion f of S 1 into R^1

Published on
#manifolds #stokes-theorem
231
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integration by parts on hypersurfaces

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#manifolds #curvature #integration-by-parts
1.6k
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Distance function on complete Riemannian manifold.

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#manifolds #riemannian-geometry #geodesic
294
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What is this manifold?

Published on
#geometry #algebraic-topology #manifolds #geometric-topology
108
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Good reference for partitions of unity?

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#real-analysis #reference-request #manifolds #sobolev-spaces #regularity-theory-of-pdes
1k
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Is integration with respect to spherical measure equivalent to manifold integration over sphere?

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#integration #differential-geometry #manifolds #smooth-manifolds #spherical-geometry
269
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Need a very simple example of coordinate functions and parameterization of a manifold

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#differential-geometry #manifolds #parametrization
297
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Version of Invariance of Domain for n-manifolds

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#general-topology #manifolds
2k
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Why the differential of exponential map is the identity.

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#manifolds #riemannian-geometry
1.2k
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How to find a parametrization for a torus?

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#real-analysis #integration #manifolds
1.9k
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Difference between a manifold and a sub-manifold of the same dimension?

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#differential-geometry #manifolds
1k
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How to find the transition function for two overlapping charts of $\mathbb{R}P^2$?

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#differential-geometry #manifolds #projective-space
175
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Reference of what metric can be placed on manifold?

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#differential-geometry #manifolds #riemannian-geometry #geometric-topology #curvature
98
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How to prove that a space is not a differential manifold?

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#differential-geometry #manifolds #smooth-manifolds
82
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Do these assumptions on a mapping ensure it is a diffeomorphism?

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#differential-geometry #manifolds #smooth-manifolds

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