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Gauss-Green Theorem from generalized Stoke's Theorem.

Published on
#integration #multivariable-calculus #manifolds-with-boundary
1k
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Is the complex projective plane a compact manifold with or without boundary (closed manifold)?

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#algebraic-topology #projective-space #manifolds-with-boundary
417
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Boundary points of a manifold

Published on
#manifolds #riemannian-geometry #manifolds-with-boundary
68
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Show that $((0,1)\times(0,1))\cup(\{1\}\times[0,1])$ is not a smooth manifold with boundary$

Published on
#differential-geometry #differential-topology #smooth-manifolds #surfaces #manifolds-with-boundary
64
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Does there exist an inclusion map making a given boundary point into an interior point?

Published on
#manifolds #smooth-manifolds #manifolds-with-boundary
46
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How to define bounds in a projected space from which we want to also recover

Published on
#linear-algebra #linear-transformations #projective-geometry #manifolds-with-boundary
134
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Compact boundary of non compact manifold

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#differential-geometry #manifolds #smooth-manifolds #manifolds-with-boundary
182
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Atlas for closed interval as manifold-with-boundary

Published on
#manifolds #manifolds-with-boundary
105
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Is the domain of the maximal integral curve of $N|_{\operatorname{Int}M} $ starting at $f_p(a)$ an open interval of the form $(-a,b)$?

Published on
#manifolds #smooth-manifolds #manifolds-with-boundary
182
Views

domain of flow of an inner vector field is a manifold with corners

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#ordinary-differential-equations #differential-geometry #smooth-manifolds #manifolds-with-boundary
167
Views

Removing the boundary from a manifold-with-boundary while preserving non-negativity of scalar curvature & completeness

Published on
#differential-geometry #differential-topology #manifolds-with-boundary
317
Views

Atlas for the closed ball.

Published on
#integration #differential-geometry #stokes-theorem #manifolds-with-boundary
45
Views

1-manifold with boundary

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#general-topology #manifolds #solution-verification #manifolds-with-boundary
99
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Which kind of regularity of a 2-dimensional manifold do we need to assume such that there is a surface measure and outer normal field on it?

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#differential-geometry #manifolds #smooth-manifolds #surfaces #manifolds-with-boundary
412
Views

Collar neighborhoods of a topological manifold with boundary

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#general-topology #algebraic-topology #manifolds #manifolds-with-boundary #compact-manifolds

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