User:Golopotw

Differential geometry objects

Name	Set name	Signature
Function on M	${\displaystyle C(M)}$	${\displaystyle M\to R}$
Smooth map		${\displaystyle M\to N}$
Tangent vectors at p	${\displaystyle T_{p}M}$	${\displaystyle Cp(M)\to R}$
Tangent bundle	${\displaystyle TM}$	${\displaystyle Cp(M)\to R}$
Derivation		${\displaystyle Cp(M)\to R}$
Vector field		${\displaystyle M\to TM}$
k-form	${\displaystyle \Omega ^{k}(M)}$	${\displaystyle }$

name
Differential	${\displaystyle f:M\to N}$	${\displaystyle df_{p}:T_{p}M\to T_{f(p)}N}$

user:golopotw/draft_1