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What is the boundary of two manifolds with boundary?

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#differential-geometry #manifolds-with-boundary
223
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Does the intrinsic and extrinsic distances coincide on the interior?

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#metric-spaces #riemannian-geometry #metric-geometry #manifolds-with-boundary
597
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Isometric immersions between manifolds with boundary are locally distance preserving?

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#riemannian-geometry #isometry #metric-geometry #manifolds-with-boundary
561
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Is every flat manifold with boundary locally isometric to the Euclidean half-space?

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#riemannian-geometry #geodesic #isometry #metric-geometry #manifolds-with-boundary
677
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Regular values for maps between manifolds with boundary

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#differential-topology #manifolds-with-boundary
174
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Stuck trying to prove Theorem 5.53(b) in Professor Lee's Introduction to Smooth Manifolds

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#differential-geometry #smooth-manifolds #submanifold #manifolds-with-boundary
41
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Orthogonal geodesic chords

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#riemannian-geometry #smooth-manifolds #geodesic #manifolds-with-boundary
146
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Smooth maps between manifolds with boundary: restricting the codomain to a submanifold with boundary

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#differential-geometry #smooth-manifolds #manifolds-with-boundary
116
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Must the topological boundary of an embedded manifold be a set of Lebesgue measure zero? Why is this question closed?

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#lebesgue-measure #differential-topology #manifolds-with-boundary
84
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Extending an embedding to the boundary

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#differential-geometry #smooth-manifolds #smooth-functions #manifolds-with-boundary
59
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Riemannian manifold with almost nonnegative sectional curvature

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#differential-geometry #riemannian-geometry #manifolds-with-boundary
170
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On the homology of manifolds with boundary

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#algebraic-topology #smooth-manifolds #homology-cohomology #manifolds-with-boundary
79
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Proof that $M(a)$ is a regular domain in $\mathrm{Int} M$ in Prof. Lee's Introduction to Smooth Manifolds errata for Theorem 9.26

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#differential-geometry #smooth-manifolds #submanifold #manifolds-with-boundary
54
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Closed Hilbert half-space

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#hilbert-spaces #homotopy-theory #manifolds-with-boundary
86
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Results that hold on smooth manifolds, but not on smooth manifolds with boundary?

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#differential-topology #smooth-manifolds #manifolds-with-boundary

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