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Existence of boundary cylindrical neighborhood for a compact manifold

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#riemannian-geometry #manifolds-with-boundary #compact-manifolds
121
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The riemannian metric of a neighborhood of the boundary of a compact manifold

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#riemannian-geometry #manifolds-with-boundary
540
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Boundary of the image is the image of the boundary.

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#real-analysis #general-topology #change-of-variable #manifolds-with-boundary
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
1.2k
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No where vanishing exact $1$-form on compact manifold.

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#differential-geometry #differential-topology #smooth-manifolds #stokes-theorem #manifolds-with-boundary
201
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if $f: X \rightarrow Y$ is a diffeomorphism of manifolds with boundary, then $\partial f$ maps $\partial X$ diffeomorphically onto $\partial Y$.

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#differential-topology #manifolds-with-boundary
1.4k
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Constant Rank Theorem for Manifolds with Boundary

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#differential-geometry #smooth-manifolds #manifolds-with-boundary #smooth-functions
76
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What's the meaning of being expressible as a convergent power series in a neighborhood of each point?

Published on
#manifolds #smooth-manifolds #manifolds-with-boundary
366
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Manifolds with Boundary and Maximal Atlas

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#differential-geometry #manifolds #smooth-manifolds #manifolds-with-boundary
47
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A difficulty in understanding a part of a paragraph in Guillemin & Pollack p.60

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#general-topology #differential-topology #manifolds-with-boundary #transversality
195
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$W$ spin implies $\partial W$ spin

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#algebraic-topology #vector-bundles #characteristic-classes #manifolds-with-boundary #spin-geometry
75
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Is this conjecture about the boundary of a surface correct?

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#real-analysis #general-topology #manifolds-with-boundary
51
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Are the two definitions of that a map $F:A\to N$ is smooth on $A$ equivalent?

Published on
#manifolds #smooth-manifolds #manifolds-with-boundary
72
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Homotopy type of smooth manifold with boundary

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#general-topology #smooth-manifolds #manifolds-with-boundary
123
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The orientation induced on the boundary of a manifold.

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#differential-geometry #manifolds #orientation #manifolds-with-boundary

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