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$\exp_q^{-1}(\exp_p(tX)) = \exp_q^{-1}(p)+t\Gamma_{p\to q}(X)+O(t^2)$ as $t\to 0$?

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#differential-geometry #manifolds #differential-topology #riemannian-geometry #smooth-manifolds
228
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Composition of solutions to ODE on a manifold

Published on
#ordinary-differential-equations #differential-geometry #manifolds
217
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Geometry as a Group Action

Published on
#group-theory #manifolds #low-dimensional-topology
78
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Manifold with boundary - finding the boundary

Published on
#calculus #manifolds
208
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In a 2D Riemannian manifold, how does exponential map change the distances?

Published on
#differential-geometry #manifolds #riemannian-geometry #smooth-manifolds
1k
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Can't understand the definition of equivalence of topological atlas.

Published on
#manifolds #differential-topology
387
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Extension of Du-Bois-Raymond lemma to Vector Fields on a Riemannian Manifold

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#differential-geometry #manifolds #riemannian-geometry #calculus-of-variations
524
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Boundary defining function

Published on
#differential-geometry #manifolds
92
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Question about a proposition in Kobayashi book about $G$-structures.

Published on
#differential-geometry #manifolds #smooth-manifolds #fiber-bundles #principal-bundles
86
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Existence of a special homeomorphism on $\mathbb{T}^2$.

Published on
#general-topology #manifolds #manifolds-with-boundary #compact-manifolds
313
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$1$-parameter group terminology problem.

Published on
#manifolds #lie-groups #lie-algebras #smooth-manifolds #vector-fields
323
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Smooth Manifolds: Charts or Parametrizations?

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#general-topology #manifolds #differential-topology #smooth-manifolds
55
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Open Cover of (0,1) by infinite collection of sets

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#calculus #general-topology #manifolds
1.1k
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Uniform distribution on Stiefel manifold

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#probability #probability-distributions #manifolds #riemannian-geometry #stiefel-manifolds
693
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Show the graph is a manifold

Published on
#real-analysis #manifolds

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