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Vector fields commute implies flows can be written as composition of individual flows

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#differential-geometry #manifolds #smooth-manifolds #vector-fields
106
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Relations $\mathbb{H}^{*}$ and $\operatorname{GL}_{2}(\mathbb{C})$

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#lie-groups #smooth-manifolds #quaternions
181
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Countably many knots

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#smooth-manifolds #knot-theory
671
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Vector bundles can have transition functions on $O(k)$

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#differential-topology #smooth-manifolds #vector-bundles
1.3k
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$M$ simply connected $\implies$ every line bundle $E\to M$ is trivial

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#differential-topology #smooth-manifolds #vector-bundles
1.3k
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Showing a dense curve in the torus is weakly embedded

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#differential-geometry #manifolds #smooth-manifolds
137
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If $F$ is a $1$-to-$1$ imersion and is proper then $F$ is an imbedding

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#differential-geometry #manifolds #smooth-manifolds #submanifold
50
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1D Topological manifold that is not $\mathcal{C}^r$?

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#proof-verification #manifolds #differential-topology #smooth-manifolds #geometric-topology
118
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Parametrisation of $\mathbb{S}^n$ and smooth atlas.

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#differential-geometry #proof-verification #manifolds #smooth-manifolds #spheres
231
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Map $F$ open and $F(\mathbb{R})$ is a submanifold

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#differential-geometry #smooth-manifolds #open-map #submanifold
941
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Exterior derivative of a $1-$form is a tensor field

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#differential-geometry #tensor-products #smooth-manifolds #tensors #differential-forms
185
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A cohomology or homology associated to a Riemannian manifold or a dynamical system

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#differential-geometry #riemannian-geometry #dynamical-systems #homology-cohomology #smooth-manifolds
29
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Form in spherical surface

Published on
#manifolds #smooth-manifolds #differential-forms
127
Views

Intersection Theory and projection maps

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#smooth-manifolds #intersection-theory
100
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Showing a specific projection has a regular value

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#manifolds #differential-topology #smooth-manifolds #tangent-bundle

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