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15
122
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Diagonal is submanifold, Local zero set description of submanifolds.

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#differential-geometry #smooth-manifolds #submanifold
170
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The boundary of any manifold that is itself a boundary of a higher-dimensional manifold must always be empty?

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#general-topology #manifolds #submanifold #manifolds-with-boundary
43
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What is the difference between a boundary *existing* (or rather, *not* existing) and a boundary *being empty*?

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#general-topology #manifolds #submanifold #manifolds-with-boundary
69
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Integration over a closed surface in a Riemannian $3$-manifold

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#differential-geometry #riemannian-geometry #submanifold #orientation
251
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Riemannian volume forms on a family of surfaces evolving by IMCF

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#differential-geometry #riemannian-geometry #submanifold
44
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When is the "flat limit" of a submanifold not a submanifold?

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#differential-geometry #reference-request #compactness #geometric-measure-theory #submanifold
40
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Manifolds - Inverse Function Theorem Form?

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#analysis #manifolds #smooth-manifolds #submanifold #inverse-function-theorem
37
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The relationship of tangent space between submanifold and manifold.

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#smooth-manifolds #submanifold #tangent-spaces
174
Views

What does it mean to induce a Riemannian metric on an evolving hypersurface immersed in a Riemannian manifold?

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#differential-geometry #riemannian-geometry #submanifold #mean-curvature-flows
68
Views

Restriction of Differential Form On a Connected and Compact Submanifold

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#differential-geometry #smooth-manifolds #differential-forms #submanifold
50
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Why is the connection of a submanifold equal to the connection on the ambient space?

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#proof-explanation #riemannian-geometry #connections #submanifold
36
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Metric that makes distribution orthogonal to each other

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#riemannian-geometry #vector-bundles #submanifold
50
Views

Boundary of the boundary of an oriented compact manifold-with-corners

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#differential-geometry #smooth-manifolds #submanifold #manifolds-with-boundary
60
Views

How to prove subbundle example (10.33(c) in Lee’s Intro to Smooth Manifolds) in boundary case

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#differential-geometry #smooth-manifolds #submanifold #manifolds-with-boundary
29
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Is the projection of an embedded submanifold of Euclidean n-space onto a subset of its coordinates a manifold?

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#submanifold

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