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15
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What is meant by a manifold identified with the boundary of another manifold?

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#differential-geometry #riemannian-geometry #general-relativity #manifolds-with-boundary
244
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Can a non-orientable manifold have an orientable boundary?

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#manifolds #differential-topology #smooth-manifolds #manifolds-with-boundary
84
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Confusion over boundary definition in topology

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#general-topology #geometry #manifolds #smooth-manifolds #manifolds-with-boundary
341
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Top de Rham cohomology group for noncompact manifolds with boundary

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#smooth-manifolds #homology-cohomology #manifolds-with-boundary #de-rham-cohomology
89
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Heat kernel expansion for space with boundaries but with no particular boundary conditions

Published on
#heat-equation #manifolds-with-boundary
443
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Stokes' theorem for a manifold without boundary

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#differential-geometry #manifolds #differential-forms #stokes-theorem #manifolds-with-boundary
64
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Flat Riemannian manifolds with boundary

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#riemannian-geometry #manifolds-with-boundary
150
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Integration by parts on compact, non-orientable Riemannian manifold with boundary

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#integration #riemannian-geometry #laplacian #geometric-measure-theory #manifolds-with-boundary
78
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Does the 3-manifold $S^1\times S^2$ bound a smooth integral homology ball?

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#manifolds #smooth-manifolds #homology-cohomology #manifolds-with-boundary #4-manifolds
138
Views

Normal derivative and Hodge star operator

Published on
#differential-geometry #differential-forms #manifolds-with-boundary
285
Views

Understanding difference between a distinguished boundary and 'normal' boundary in several complex variables

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#complex-analysis #several-complex-variables #manifolds-with-boundary
99
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General condition for the surface element be the same as the volume element, up to a dt

Published on
#integration #contour-integration #manifolds-with-boundary
240
Views

Lee Smooth Manifolds, why does the Whitney Approximation Theorem fail when the co-domain has non-empty boundary?

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#differential-geometry #differential-topology #smooth-manifolds #submanifold #manifolds-with-boundary
264
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Help proving statement in Lee's Introduction to Riemannian Manifolds about smooth curves into manifolds with nonempty boundary.

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#differential-geometry #smooth-manifolds #manifolds-with-boundary
74
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An affine invariant notion of minimal surface?

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#riemannian-geometry #differential-topology #curvature #manifolds-with-boundary #minimal-surfaces

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