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Can we choose the anti exterior derivative in a way that respect the behaviour on the boundary?

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#differential-geometry #differential-topology #smooth-manifolds #differential-forms #manifolds-with-boundary
63
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Obstructions to existence of a boundary respecting family of primitive exterior derivatives

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#differential-geometry #differential-topology #smooth-manifolds #differential-forms #manifolds-with-boundary
77
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Are two compact $n$-dim submanifolds with boundary of $\mathbb{R}^n$ with identical boundaries coincide?

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#differential-topology #smooth-manifolds #manifolds-with-boundary
1.7k
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Proving diffeomorphism invariance of boundary

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#differential-geometry #smooth-manifolds #manifolds-with-boundary
2k
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Why are functions with vanishing normal derivative dense in smooth functions?

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#functional-analysis #reference-request #riemannian-geometry #sobolev-spaces #manifolds-with-boundary
276
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Boundary of a submanifold

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#general-topology #differential-geometry #differential-topology #manifolds-with-boundary #submanifold
241
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Is uniform limit of embeddings injective?

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#differential-topology #uniform-convergence #smooth-manifolds #manifolds-with-boundary
473
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Do trivial homotopy groups imply existence of boundary preserving homotopies?

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#algebraic-topology #differential-topology #homotopy-theory #manifolds-with-boundary #higher-homotopy-groups
402
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How to show reflection of $\mathbb{S}^n$ and the identity are not homotopic?

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#manifolds #homotopy-theory #manifolds-with-boundary #compact-manifolds
1k
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Volume of a manifold

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#differential-geometry #manifolds #differential-forms #manifolds-with-boundary
35
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Immersive limit of embeddings is injective on the interior?

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#differential-topology #uniform-convergence #smooth-manifolds #manifolds-with-boundary
2.8k
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The definition of smooth maps given in Introduction to Smooth manifolds by John M. Lee

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#differential-topology #smooth-manifolds #manifolds-with-boundary
65
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Calculus of variations when target space has boundary

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#differential-geometry #riemannian-geometry #calculus-of-variations #vector-bundles #manifolds-with-boundary
431
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$\mathbb S^2$ or $\mathbb RP^2$ on boundary of a 3-manifold

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#algebraic-topology #differential-topology #geometric-topology #low-dimensional-topology #manifolds-with-boundary
141
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Coordinate chart of 1-dimensional manifold with boundary

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#general-topology #manifolds #manifolds-with-boundary

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