Lie bracket of vector fields

en

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Lie bracket of vector fields

Quality:

Lie bracket of vector fields - operator in differential topology. Article "Lie bracket of vector fields" in English Wikipedia has 17.6 points for quality (as of July 1, 2025). The article contains 2 references and 8 sections.

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

Since the creation of article "Lie bracket of vector fields", its content was written by 45 registered users of English Wikipedia and edited by 62 registered Wikipedia users in all languages.

The article is cited 211 times in English Wikipedia and cited 305 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #158773 in May 2012
  • Global: #160559 in November 2022

The highest popularity rank from 2008:

  • Local (English): #259142 in June 2024
  • Global: #406457 in June 2024

There are 7 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
1Chinese (zh)
李氏括号
21.6153
2Catalan (ca)
Corxet Lie de camps vectorials
19.0616
3English (en)
Lie bracket of vector fields
17.5678
4Persian (fa)
کروشه لی
10.7096
5Ukrainian (uk)
Дужка Лі векторних полів
8.3118
6Spanish (es)
Corchete de Lie (campos de vectores)
3.4739
7Czech (cs)
Lieova závorka
2.4294
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 "Lie bracket of vector fields" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Lie bracket of vector fields
505 770
2Spanish (es)
Corchete de Lie (campos de vectores)
31 328
3Chinese (zh)
李氏括号
16 061
4Persian (fa)
کروشه لی
4 051
5Czech (cs)
Lieova závorka
1 001
6Ukrainian (uk)
Дужка Лі векторних полів
813
7Catalan (ca)
Corxet Lie de camps vectorials
134
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 "Lie bracket of vector fields" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Lie bracket of vector fields
2 771
2Chinese (zh)
李氏括号
132
3Spanish (es)
Corchete de Lie (campos de vectores)
110
4Czech (cs)
Lieova závorka
13
5Persian (fa)
کروشه لی
13
6Ukrainian (uk)
Дужка Лі векторних полів
5
7Catalan (ca)
Corxet Lie de camps vectorials
2
More...

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

The highest AI

Language versions of the article "Lie bracket of vector fields" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Lie bracket of vector fields
45
2Czech (cs)
Lieova závorka
4
3Spanish (es)
Corchete de Lie (campos de vectores)
3
4Ukrainian (uk)
Дужка Лі векторних полів
3
5Chinese (zh)
李氏括号
3
6Catalan (ca)
Corxet Lie de camps vectorials
2
7Persian (fa)
کروشه لی
2
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 "Lie bracket of vector fields" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Corxet Lie de camps vectorials
0
2Czech (cs)
Lieova závorka
0
3English (en)
Lie bracket of vector fields
0
4Spanish (es)
Corchete de Lie (campos de vectores)
0
5Persian (fa)
کروشه لی
0
6Ukrainian (uk)
Дужка Лі векторних полів
0
7Chinese (zh)
李氏括号
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 "Lie bracket of vector fields" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Lie bracket of vector fields
211
2Chinese (zh)
李氏括号
33
3Persian (fa)
کروشه لی
23
4Spanish (es)
Corchete de Lie (campos de vectores)
18
5Ukrainian (uk)
Дужка Лі векторних полів
12
6Catalan (ca)
Corxet Lie de camps vectorials
7
7Czech (cs)
Lieova závorka
1
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
Corxet Lie de camps vectorials
csCzech
Lieova závorka
enEnglish
Lie bracket of vector fields
esSpanish
Corchete de Lie (campos de vectores)
faPersian
کروشه لی
ukUkrainian
Дужка Лі векторних полів
zhChinese
李氏括号

Popularity rank trends

Best Rank English:
#259142
06.2024
Global:
#406457
06.2024

AI rank trends

Best Rank English:
#158773
05.2012
Global:
#160559
11.2022

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Lie bracket of vector fields from Wikipedia articles about Levi-Civita connection, Lie derivative, Riemann curvature tensor, Lie algebra and Torsion tensor. Whereas reading the article about Lie bracket of vector fields people most often go to Wikipedia articles on Lie derivative, Frobenius theorem, Lie algebra, Pushforward and Frölicher–Nijenhuis bracket.

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