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Smooth Principal Bundle from continuous transition functions?

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#differential-geometry #smooth-manifolds #principal-bundles #gauge-theory
110
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Possible condition on locally Euclidean subsets of Euclidean space to be embedded submanifold

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#calculus #differential-geometry #manifolds #smooth-manifolds
466
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"Defining a smooth structure on a topological manifold with boundary"

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#manifolds #smooth-manifolds #manifolds-with-boundary
1.5k
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Hyperboloid is a manifold

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#real-analysis #manifolds #differential-topology #smooth-manifolds
2.4k
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The graph of a smooth map is a manifold

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#real-analysis #manifolds #differential-topology #smooth-manifolds
482
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A finite group G acts freely on a simply connected manifold M

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#differential-geometry #algebraic-topology #manifolds #lie-groups #smooth-manifolds
94
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An elementary proof that low rank maps cannot be open

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#differential-topology #smooth-manifolds
683
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What does it mean by standard coordinates on $R^n$

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#manifolds #smooth-manifolds
127
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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
203
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Some questions on the tangent bundle of manifolds

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#algebraic-geometry #smooth-manifolds #complex-geometry
320
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Existence of smooth frame along a curve on the manifold

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#differential-geometry #smooth-manifolds #frenet-frame
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
100
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Prove that $(\frac{\partial}{\partial x_{i}})|_{p}$ is a basis of $T_{p}M$

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#differential-geometry #smooth-manifolds
40
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Certain property of vector fields - making sense of a certain expression

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#differential-geometry #smooth-manifolds

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