Pullback (differential geometry)

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Pullback (differential geometry)

Quality:

Pullback - in geometry, transferring a differential form or fiber bundle from the codomain of a continuous map to the domain. Article “Pullback (differential geometry)” in English Wikipedia has 22.5 points for quality (as of July 1, 2025). The article contains 0 references and 12 sections.

This article has the best quality in German Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Pullback (differential geometry)”, its content was written by 47 registered users of English Wikipedia and edited by 133 registered Wikipedia users in all languages.

The article is cited 223 times in English Wikipedia and cited 387 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #30233 in April 2005
  • Global: #79898 in April 2005

The highest popularity rank from 2008:

  • Local (English): #218239 in May 2025
  • Global: #319349 in May 2025

There are 11 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1German (de)
Rücktransport
31.521
2Chinese (zh)
拉回 (微分几何)
24.8034
3English (en)
Pullback (differential geometry)
22.4752
4French (fr)
Image réciproque (géométrie différentielle)
20.8743
5Galician (gl)
Regresión (xeometría diferencial)
16.8668
6Italian (it)
Pull-back
11.9808
7Spanish (es)
Aplicación regrediente
4.6575
8Korean (ko)
당김 (미분기하학)
4.3974
9Catalan (ca)
Pullback
3.4498
10Ukrainian (uk)
Кодиференціал (диференціальна геометрія)
0.9747
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Pullback (differential geometry)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Pullback (differential geometry)
552 355
2German (de)
Rücktransport
56 875
3Italian (it)
Pull-back
53 900
4Spanish (es)
Aplicación regrediente
30 599
5Chinese (zh)
拉回 (微分几何)
14 335
6Russian (ru)
Кодифференциал (дифференциальная геометрия)
8 136
7French (fr)
Image réciproque (géométrie différentielle)
5 809
8Korean (ko)
당김 (미분기하학)
2 399
9Catalan (ca)
Pullback
1 824
10Ukrainian (uk)
Кодиференціал (диференціальна геометрія)
830
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Pullback (differential geometry)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Pullback (differential geometry)
3 127
2German (de)
Rücktransport
322
3Italian (it)
Pull-back
254
4Spanish (es)
Aplicación regrediente
171
5French (fr)
Image réciproque (géométrie différentielle)
118
6Chinese (zh)
拉回 (微分几何)
116
7Russian (ru)
Кодифференциал (дифференциальная геометрия)
45
8Korean (ko)
당김 (미분기하학)
21
9Catalan (ca)
Pullback
17
10Galician (gl)
Regresión (xeometría diferencial)
8
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Pullback (differential geometry)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Pullback (differential geometry)
47
2German (de)
Rücktransport
27
3Italian (it)
Pull-back
19
4Russian (ru)
Кодифференциал (дифференциальная геометрия)
10
5Spanish (es)
Aplicación regrediente
8
6Korean (ko)
당김 (미분기하학)
6
7French (fr)
Image réciproque (géométrie différentielle)
5
8Catalan (ca)
Pullback
3
9Ukrainian (uk)
Кодиференціал (диференціальна геометрія)
3
10Chinese (zh)
拉回 (微分几何)
3
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Pullback (differential geometry)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Pullback
0
2German (de)
Rücktransport
0
3English (en)
Pullback (differential geometry)
0
4Spanish (es)
Aplicación regrediente
0
5French (fr)
Image réciproque (géométrie différentielle)
0
6Galician (gl)
Regresión (xeometría diferencial)
0
7Italian (it)
Pull-back
0
8Korean (ko)
당김 (미분기하학)
0
9Russian (ru)
Кодифференциал (дифференциальная геометрия)
0
10Ukrainian (uk)
Кодиференціал (диференціальна геометрія)
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Pullback (differential geometry)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Pullback (differential geometry)
223
2German (de)
Rücktransport
33
3Spanish (es)
Aplicación regrediente
29
4French (fr)
Image réciproque (géométrie différentielle)
26
5Korean (ko)
당김 (미분기하학)
21
6Chinese (zh)
拉回 (微分几何)
18
7Catalan (ca)
Pullback
17
8Italian (it)
Pull-back
10
9Russian (ru)
Кодифференциал (дифференциальная геометрия)
7
10Galician (gl)
Regresión (xeometría diferencial)
2
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Pullback
deGerman
Rücktransport
enEnglish
Pullback (differential geometry)
esSpanish
Aplicación regrediente
frFrench
Image réciproque (géométrie différentielle)
glGalician
Regresión (xeometría diferencial)
itItalian
Pull-back
koKorean
당김 (미분기하학)
ruRussian
Кодифференциал (дифференциальная геометрия)
ukUkrainian
Кодиференціал (диференціальна геометрія)
zhChinese
拉回 (微分几何)

Popularity rank trends

Best Rank English:
#218239
05.2025
Global:
#319349
05.2025

AI rank trends

Best Rank English:
#30233
04.2005
Global:
#79898
04.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Pullback from Wikipedia articles about Pullback, Pushforward, Differential form, Lie derivative and Pull back. Whereas reading the article about Pullback people most often go to Wikipedia articles on Pushforward, Pullback, One-form, Pullback bundle and Lie derivative.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information