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15
116
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Wave equation solution with time independent bound on the diameter of the support set

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#smooth-manifolds #wave-equation
78
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any two points on contact manifold connected by a path tangent to the contact distribution

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#differential-topology #smooth-manifolds
174
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Question about 1-forms on $S^3$

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#differential-geometry #smooth-manifolds
40
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Is there a converse to “knowing a good cover” → “knowing cohomology”?

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#homology-cohomology #smooth-manifolds #de-rham-cohomology
119
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a torsion-free connection that preserves a complex structure

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#differential-geometry #smooth-manifolds #complex-geometry #connections
1.2k
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De Rham cohomology groups of $\mathbb{R}^n$

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#multivariable-calculus #smooth-manifolds #group-cohomology #de-rham-cohomology
200
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Uniqueness of the smooth manifold structure in the Smooth Manifold Chart Lemma, Lee's book.

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#general-topology #differential-geometry #smooth-manifolds
2.8k
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Prove the pullback bundle is a vector bundle

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#differential-geometry #smooth-manifolds #vector-bundles
150
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Prove check total space canonical bundle (vector bundle of projective space)

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#differential-geometry #smooth-manifolds #vector-bundles #projective-space
922
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Proof that the boundary of the square is not an embedded submanifold

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#general-topology #differential-topology #smooth-manifolds
500
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Does the geometric version of Nakayama's lemma hold for smooth manifolds?

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#differential-geometry #algebraic-geometry #commutative-algebra #smooth-manifolds #sheaf-theory
1k
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Lie bracket of vector fields independent the choice of coordinates

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#calculus #geometry #differential-geometry #manifolds #smooth-manifolds
312
Views

Extending a local smooth section to a global one

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#smooth-manifolds #vector-bundles
164
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Showing linear independence of sections of a vector bundle

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#smooth-manifolds #vector-bundles
493
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Non-metrizable smooth manifold?

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#general-topology #manifolds #smooth-manifolds

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