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Lie derivative of a top-dimensional differential form on a compact manifold

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#differential-geometry #manifolds #smooth-manifolds #differential-forms #smooth-functions
262
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Can continuous functions be made smooth by changing the smooth structure on the domain?

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#calculus #differential-geometry #differential-topology #smooth-manifolds #smooth-functions
102
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Injectivity radius and covering radius

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#algebraic-topology #manifolds #riemannian-geometry #smooth-manifolds
117
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On proving the surjectivity of the exponential map for compact Lie groups using properties of their Lie algebras

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#lie-groups #lie-algebras #smooth-manifolds #matrix-exponential
71
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How would we perceive space from within the hypersphere $S^3$?

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#riemannian-geometry #smooth-manifolds #curvature #spherical-geometry #low-dimensional-topology
184
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Open image of surjective local diffeomorphism

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#differential-geometry #smooth-manifolds
182
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Geodesical completness of the Spatial Schwarzschild manifold

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#differential-geometry #riemannian-geometry #smooth-manifolds #mathematical-physics
174
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Intuition behind orientation of a surface

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#differential-geometry #manifolds #smooth-manifolds #surfaces
283
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Basic question on differentiable structures

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#manifolds #differential-topology #smooth-manifolds
137
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Set of fixed point for the self-diffeomorphism in manifold

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#differential-geometry #manifolds #smooth-manifolds #diffeomorphism
778
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Smoothness of a function is independent from the chart

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#manifolds #differential-topology #smooth-manifolds
79
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Conditions for extending a restricted vector bundle of an embedded submanifold to the whole manifold

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#manifolds #smooth-manifolds #vector-bundles #topological-vector-spaces
72
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Doubt on paracompactness and lorentz signature.

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#manifolds #differential-topology #smooth-manifolds #semi-riemannian-geometry #paracompactness
1.1k
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Lie group Isomorphism Between $SO(2)$ and $S^1$

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#lie-groups #smooth-manifolds #orthogonal-matrices
49
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Prove that the extended real line is a smoth manifold

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#smooth-manifolds

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