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Is the range of a vector field $\bigcup_{p\in\mathbb{R}^n}\mathbb{R}_p^n$? ("Calculus on Manifolds" by Michael Spivak.)

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#vector-fields #tangent-spaces
43
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Definition of tangent vector of vector space

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#differential-geometry #differential-topology #tangent-spaces
59
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Tangent plane orthogonal to a vector

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#real-analysis #multivariable-calculus #tangent-spaces
80
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What is a transversal intersection? Can it be explained without tangent spaces and tangent bundles?

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#general-topology #geometric-topology #tangent-spaces #tangent-bundle #transversality
74
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Properties of tangent functor

Published on
#differential-geometry #category-theory #tangent-spaces
24
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Compute the tangent map on a Lie group

Published on
#lie-groups #smooth-manifolds #tangent-spaces
38
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A question on alternating product and $SL_n(R)$

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#lie-groups #lie-algebras #exterior-algebra #tangent-spaces
44
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Pushforward of a derivation

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#differential-geometry #vector-spaces #tangent-spaces #derivations
51
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Why do derivations take only smooth inputs?

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#general-topology #analysis #differential-topology #smooth-manifolds #tangent-spaces
116
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Tangent space of $\mathbb{P}(V)$

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#algebraic-geometry #complex-geometry #projective-space #tangent-spaces
59
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How do we define the map on Zariski tangent space in the infinite case?

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#abstract-algebra #algebraic-geometry #tangent-spaces
73
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Tangent vector of vector space

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#derivatives #differential-geometry #differential-topology #tangent-spaces
35
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A doubt regarding the orthogonality of the partials defined on a tangent space of an abstract manifold.

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#differential-geometry #riemannian-geometry #smooth-manifolds #inner-products #tangent-spaces
89
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What is the maximal l for a $C^{l}$-vector field on a $C^{k}$-manifold?

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#differential-geometry #manifolds #vector-fields #tangent-spaces
38
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How does the differential of a complex endomorphism of $\mathbb C^n$ act on $\frac{d}{dz^i}$ and $\frac{d}{d\bar{z}^i}$?

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#linear-algebra #matrices #complex-analysis #complex-geometry #tangent-spaces

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