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15
126
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Is the complement of a quadrant a manifold with corners?

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#differential-geometry #differential-topology #smooth-manifolds #manifolds-with-boundary
80
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Realizing singular homology boundaries as boundary restrictions of manifold maps, in smooth case

Published on
#smooth-manifolds #homology-cohomology #smooth-functions #manifolds-with-boundary
90
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Classification compact oriented $2$-manifolds with boundary which admit a flat Riemannan structure

Published on
#riemannian-geometry #smooth-manifolds #surfaces #manifolds-with-boundary #flatness
266
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Boundary of manifold with boundary

Published on
#differential-forms #stokes-theorem #manifolds-with-boundary
221
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The Riemann surface of $w^{2} \ =\text{sin} \ z$ in $ \mathbb{C}^{2}$ is not the interior of a compact surface-with-boundary

Published on
#complex-analysis #complex-geometry #riemann-surfaces #manifolds-with-boundary
56
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Questions about the proof of the Gauss-Bonnet Theorem for surfaces with boundary

Published on
#differential-geometry #differential-forms #stokes-theorem #manifolds-with-boundary
193
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Integral on a Manifold with Boundary

Published on
#integration #smooth-manifolds #manifolds-with-boundary
212
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Local immersion theorem for manifolds with boundary

Published on
#solution-verification #smooth-manifolds #manifolds-with-boundary
361
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Triviality of the cohomology group of compact connected manifolds

Published on
#algebraic-topology #manifolds #homology-cohomology #manifolds-with-boundary
203
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Integral of a volume form and stokes theorem

Published on
#manifolds #riemannian-geometry #stokes-theorem #manifolds-with-boundary #exterior-derivative
172
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Spivak's definition of manifold-with-boundary; boundary of k-manifold is k-1 -manifold.

Published on
#differential-geometry #manifolds #manifolds-with-boundary
160
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Relative cohomology on manifolds with boundary

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#algebraic-topology #manifolds #homology-cohomology #differential-forms #manifolds-with-boundary
142
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Could a differential form be both exact and co-exact?

Published on
#algebraic-topology #manifolds #differential-forms #manifolds-with-boundary #hodge-theory
73
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Is the determinant of $\mathbf{A}\in[0,1]^{N\times N}$ bounded?

Published on
#matrices #determinant #maxima-minima #upper-lower-bounds #manifolds-with-boundary
473
Views

Non-surjective map implies zero degree for manifolds with boundary

Published on
#algebraic-topology #homology-cohomology #manifolds-with-boundary

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