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Subset of Open submanifold is a submanifold?

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#differential-geometry #smooth-manifolds #submanifold
252
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Equivalence polygonal knots with smooth knots

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#smooth-manifolds #knot-theory
138
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Differential of a smooth extension of a map

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#real-analysis #manifolds #differential-topology #smooth-manifolds
20
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Statement of GP $1.2.12$: velocity vectors

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#real-analysis #manifolds #differential-topology #smooth-manifolds
147
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Using the Frobenius theorem for overdetermined system of pde's

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#differential-geometry #partial-differential-equations #smooth-manifolds
147
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Manifolds with boundary and foliations

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#differential-geometry #smooth-manifolds #manifolds-with-boundary #foliations
138
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Complex projective line 1

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#manifolds #inverse #smooth-manifolds #complex-geometry #projective-space
135
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How can I understand the regular point or the regular level set from a geometry view?

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#differential-geometry #manifolds #differential-topology #smooth-manifolds
759
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Differential $1$ forms as linear maps

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#differential-geometry #manifolds #smooth-manifolds #differential-forms #vector-fields
162
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Show that $T\Bbb S^1 \cong \Bbb S^1 \times \Bbb R$.

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#differential-geometry #smooth-manifolds
1.1k
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How to prove the space of divergence-free vector fields on a manifold is infinite dimensional?

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#differential-geometry #smooth-manifolds #volume #differential-forms #divergence-operator
4.2k
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Push forward vector field

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#differential-geometry #manifolds #lie-groups #smooth-manifolds
134
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$\mathbb S^3$ and $\mathbb S^7$ are parallizable.

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#differential-geometry #smooth-manifolds
180
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What does it mean, intuitively, to have a differential form on a Manifold (example inside)

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#differential-geometry #manifolds #intuition #smooth-manifolds #differential-forms
44
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Identification of $T(T^*M)$ with $\mathbb{R}^{4n}$

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#manifolds #smooth-manifolds #coordinate-systems

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