Pullback (differential geometry)
Suppose that φ:M→ N is a smooth map between smooth manifolds M and N; then there is an associated linear map from the space of 1-forms on N (the linear space of sections of the cotangent bundle) to the space of 1-forms on M. This linear map is known as the pullback (by φ), and is frequently denoted by φ*. More generally, any covariant tensor field – in particular any differential form – on N may be pulled back to M using φ.
Wikipage redirect
seeAlso
primaryTopic
Pullback (differential geometry)
Suppose that φ:M→ N is a smooth map between smooth manifolds M and N; then there is an associated linear map from the space of 1-forms on N (the linear space of sections of the cotangent bundle) to the space of 1-forms on M. This linear map is known as the pullback (by φ), and is frequently denoted by φ*. More generally, any covariant tensor field – in particular any differential form – on N may be pulled back to M using φ.
has abstract
En matemática, el concepto de ......
* En la teoría de categorías
@es
In matematica, con il termine ...... ard, che inverte il pull-back.
@it
In verschiedenen Teilgebieten ...... adrat oder Fasersumme genannt.
@de
Suppose that φ:M→ N is a smoot ...... y into contravariant functors.
@en
Кодифференциалом отображения м ...... ко, чем исходное отображение .
@ru
在微分几何中，拉回是将一个流形上某种结构转移到另一个流形上的 ...... 回手法（利用前复合）将微分几何中多种不同的结构变成反变函子。
@zh
Wikipage page ID
Wikipage revision ID
685,645,787
subject
hypernym
type
comment
En matemática, el concepto de ...... mediante el artificio mediante
@es
In matematica, con il termine ...... somorfismo (o diffeomorfismo).
@it
In verschiedenen Teilgebieten ...... adrat oder Fasersumme genannt.
@de
Suppose that φ:M→ N is a smoot ...... y be pulled back to M using φ.
@en
Кодифференциалом отображения м ...... ко, чем исходное отображение .
@ru
在微分几何中，拉回是将一个流形上某种结构转移到另一个流形上的 ...... 回手法（利用前复合）将微分几何中多种不同的结构变成反变函子。
@zh
label
Aplicación regrediente
@es
Pull-back
@it
Pullback (differential geometry)
@en
Rücktransport
@de
Кодифференциал (дифференциальная геометрия)
@ru
拉回 (微分几何)
@zh