Differential neighbourhood
From Encyclopedia of Mathematics
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