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Prove that a connected manifold is path connected.

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#differential-geometry #manifolds #connectedness #path-connected
2.1k
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Critical Points of a smooth map on a compact manifold

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#manifolds #differential-topology #compact-manifolds
616
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Are Riemannian manifolds only referred to as diffeomorphic if the diffeomorphism is an isometry?

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#differential-geometry #terminology #manifolds #isometry #diffeomorphism
68
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What is meant by Lee when he says "the definition of a differential was cooked up to give a coordinate independent meaning to the Jacobian matrix"

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#multivariable-calculus #differential-geometry #manifolds
228
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How to visualize the String(n) group?

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#general-topology #algebraic-topology #manifolds #geometric-topology #eilenberg-maclane-spaces
199
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Hartman-Grobman theorem on a manifold

Published on
#manifolds #dynamical-systems #stability-theory
48
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Continuous and invertible map from $[0,1] \times P \to [0,1] \times P$ has continuous inverse

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#real-analysis #general-topology #manifolds #differential-topology
904
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Topological invariance of dimension

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#manifolds #smooth-manifolds #dimension-theory-analysis #invariance
78
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Optimization on a submanifold of the n-sphere

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#differential-geometry #optimization #manifolds #spheres
396
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Parallel transport, vector fields

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#differential-geometry #manifolds #riemannian-geometry #smooth-manifolds
718
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Understanding why I can apply Inverse Function Theorem to Manifolds.

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#differential-geometry #manifolds #riemannian-geometry
25
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Dimension of isotropy group in homogenous space

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#group-theory #manifolds #differential-topology #lie-groups #smooth-manifolds
561
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Blow-up and gluing coordinates

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#algebraic-geometry #manifolds #coordinate-systems #quotient-spaces #blowup
80
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Problem with induced metric.

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#manifolds #riemannian-geometry
315
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Does this manifold have a name?

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#differential-geometry #terminology #manifolds #surfaces #non-orientable-surfaces

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