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Verifying that a function is smooth

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#differential-geometry #smooth-manifolds #smooth-functions
75
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Field line dynamics of gradient fields on $S^2$

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#dynamical-systems #smooth-manifolds #vector-fields #gradient-flows
222
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What is the motivation behind the definition of a distribution on an algebraic group

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#differential-geometry #algebraic-geometry #lie-algebras #smooth-manifolds #algebraic-groups
1.6k
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What is the adjoint representation of $\operatorname{GL}_n(\mathbb{R})$?

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#matrices #differential-geometry #lie-groups #lie-algebras #smooth-manifolds
95
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Does it make sense to translate a submanifold in a manifold?

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#differential-geometry #manifolds #riemannian-geometry #smooth-manifolds
57
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"Squeezing lemma" for tubolar neighborhoods

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#differential-geometry #smooth-manifolds
393
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Is $SU(3)$ generated by the exponentials of the Gell-Mann matrices?

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#general-topology #group-theory #lie-groups #lie-algebras #smooth-manifolds
314
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Examples of simple non-parallelizable smooth manifolds

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#differential-geometry #soft-question #manifolds #differential-topology #smooth-manifolds
142
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Confusion about the area form on a surface in $\mathbb{R}^3$

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#differential-geometry #smooth-manifolds #differential-forms
67
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Stability of a combination of two real analytic manifolds

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#manifolds #dynamical-systems #smooth-manifolds #semi-riemannian-geometry
834
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Why is Real Projective Space diffeomorphic to the quotient space of the disc

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#algebraic-topology #smooth-manifolds
481
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A sheaf of differential forms is the sheafification of presheaf of skew-symmetric forms on vector fields?

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#smooth-manifolds #differential-forms #vector-bundles #exterior-algebra
56
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Are two ways of constructing $O(n)$ as a manifold equivalent?

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#differential-geometry #smooth-manifolds #orthogonal-matrices
443
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Smooth Manifold Chart Lemma for Manifolds with Boundary

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#general-topology #multivariable-calculus #smooth-manifolds #smooth-functions
485
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How to prove this problem about orientation on manifold?

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#differential-geometry #manifolds #smooth-manifolds

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