Difference between revisions of "Differential neighbourhood"
From Encyclopedia of Mathematics
(Importing text file) |
(TeX) |
||
| Line 1: | Line 1: | ||
| − | ''of order | + | {{TEX|done}} |
| + | ''of order $2k$ of a manifold $M$ of class $C^p$, $p\geq k+1$'' | ||
| − | A local [[Chart|chart]] of the | + | A local [[Chart|chart]] of the $k$-fold [[Tangent bundle|tangent bundle]] $T^k(M)$. |
====Comments==== | ====Comments==== | ||
| − | For the notion of differential neighbourhood of order | + | For the notion of differential neighbourhood of order $2k$ of a point on a curve see [[Local differential geometry|Local differential geometry]]. |
| − | For | + | For $k$-fold tangent bundle (also called $k$-th tangent bundle) see [[Tangent bundle|Tangent bundle]]. |
Latest revision as of 14:17, 17 July 2014
of order $2k$ of a manifold $M$ of class $C^p$, $p\geq k+1$
A local chart of the $k$-fold tangent bundle $T^k(M)$.
Comments
For the notion of differential neighbourhood of order $2k$ of a point on a curve see Local differential geometry.
For $k$-fold tangent bundle (also called $k$-th tangent bundle) see Tangent bundle.
How to Cite This Entry:
Differential neighbourhood. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Differential_neighbourhood&oldid=17168
Differential neighbourhood. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Differential_neighbourhood&oldid=17168
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article