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Partial Differential Equation using theory of manifolds

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#ordinary-differential-equations #manifolds #smooth-manifolds #vector-fields
1k
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Showing that a diffeomorphism preserves the boundary

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#manifolds #smooth-manifolds #manifolds-with-boundary #diffeomorphism
416
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How many points define a sphere of unknown radius?

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#manifolds #smooth-manifolds #spheres #dimension-theory-analysis
290
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Reference for Grassmannian Manifold

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#algebraic-geometry #manifolds #grassmannian
338
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Giving a counterexample for the extension lemma of smooth functions

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#manifolds #examples-counterexamples #smooth-manifolds #manifolds-with-boundary
91
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Does $S^2\times[-1,1]$ decompose as $B^3\#B^3$

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#manifolds #low-dimensional-topology
74
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A question about the proof of Extension Lemma for Smooth functions

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#manifolds #smooth-manifolds #manifolds-with-boundary
365
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A question about the proof of Level sets of Smooth Functions

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#manifolds #smooth-manifolds
1k
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Determine the Tangent Space of a Submanifold

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#manifolds #smooth-manifolds
47
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Showing a continuous function is smooth

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#general-topology #manifolds #smooth-manifolds
453
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How can I prove $(0,2]$ is a smooth manifold? And something questions about the choice of the open set of a manifold?

Published on
#differential-geometry #manifolds #differential-topology
69
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Is $(t,|t|)$ a smooth submanifold of $\mathbb{R^2}$?

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#manifolds #smooth-manifolds
151
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Possible condition on locally Euclidean subset of Euclidean space to be embedded submanifold II

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#calculus #differential-geometry #manifolds #smooth-manifolds
79
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When two hypersurfaces can be connected to form an $n$-dimensional submanifold?

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#differential-geometry #manifolds #smooth-manifolds
266
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How to find 1-form for Stokes' Theorem?

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#manifolds #vector-analysis #differential-forms

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