Forma di Maurer-Cartan

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Forma di Maurer-Cartan

Quality:

Maurer–Cartan form - on a Lie group G, a canonical 1-form valued in its own Lie algebra; the unique principal-bundle connection on the unique G-bundle over the one-point space. Article “Forma di Maurer-Cartan” in Italian Wikipedia has 10.5 points for quality (as of July 1, 2025). The article contains 1 references and 4 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (Italian) language version.

Since the creation of article “Forma di Maurer-Cartan”, its content was written by 4 registered users of Italian Wikipedia and edited by 77 registered Wikipedia users in all languages.

The article is cited 4 times in Italian Wikipedia and cited 99 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Italian): #43334 in July 2016
  • Global: #78305 in September 2004

The highest popularity rank from 2008:

  • Local (Italian): #363808 in July 2016
  • Global: #810448 in March 2014

There are 9 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
1English (en)
Maurer–Cartan form
21.0777
2Korean (ko)
마우러-카르탕 형식
15.6751
3German (de)
Maurer-Cartan-Form
14.1867
4Italian (it)
Forma di Maurer-Cartan
10.4726
5Japanese (ja)
モーレー・カルタンの微分形式
9.669
6Ukrainian (uk)
Форма Маурера — Картана
3.8718
7Russian (ru)
Форма Маурера — Картана
3.4874
8French (fr)
Forme de Maurer-Cartan
1.8053
9Chinese (zh)
马尤厄-嘉当形式
1.0435
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 "Forma di Maurer-Cartan" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Maurer–Cartan form
182 610
2Japanese (ja)
モーレー・カルタンの微分形式
16 023
3German (de)
Maurer-Cartan-Form
9 968
4Chinese (zh)
马尤厄-嘉当形式
7 259
5Russian (ru)
Форма Маурера — Картана
5 005
6Italian (it)
Forma di Maurer-Cartan
3 135
7Korean (ko)
마우러-카르탕 형식
2 303
8French (fr)
Forme de Maurer-Cartan
2 184
9Ukrainian (uk)
Форма Маурера — Картана
190
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 "Forma di Maurer-Cartan" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Maurer–Cartan form
1 098
2Japanese (ja)
モーレー・カルタンの微分形式
116
3German (de)
Maurer-Cartan-Form
74
4Chinese (zh)
马尤厄-嘉当形式
47
5French (fr)
Forme de Maurer-Cartan
46
6Russian (ru)
Форма Маурера — Картана
42
7Italian (it)
Forma di Maurer-Cartan
34
8Korean (ko)
마우러-카르탕 형식
8
9Ukrainian (uk)
Форма Маурера — Картана
4
More...

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

The highest AI

Language versions of the article "Forma di Maurer-Cartan" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Maurer–Cartan form
42
2German (de)
Maurer-Cartan-Form
8
3Japanese (ja)
モーレー・カルタンの微分形式
7
4Russian (ru)
Форма Маурера — Картана
5
5Chinese (zh)
马尤厄-嘉当形式
5
6Italian (it)
Forma di Maurer-Cartan
4
7French (fr)
Forme de Maurer-Cartan
3
8Ukrainian (uk)
Форма Маурера — Картана
2
9Korean (ko)
마우러-카르탕 형식
1
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 "Forma di Maurer-Cartan" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Maurer-Cartan-Form
0
2English (en)
Maurer–Cartan form
0
3French (fr)
Forme de Maurer-Cartan
0
4Italian (it)
Forma di Maurer-Cartan
0
5Japanese (ja)
モーレー・カルタンの微分形式
0
6Korean (ko)
마우러-카르탕 형식
0
7Russian (ru)
Форма Маурера — Картана
0
8Ukrainian (uk)
Форма Маурера — Картана
0
9Chinese (zh)
马尤厄-嘉当形式
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 "Forma di Maurer-Cartan" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Maurer–Cartan form
46
2Japanese (ja)
モーレー・カルタンの微分形式
14
3German (de)
Maurer-Cartan-Form
9
4Chinese (zh)
马尤厄-嘉当形式
9
5Korean (ko)
마우러-카르탕 형식
8
6French (fr)
Forme de Maurer-Cartan
5
7Italian (it)
Forma di Maurer-Cartan
4
8Russian (ru)
Форма Маурера — Картана
2
9Ukrainian (uk)
Форма Маурера — Картана
2
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
deGerman
Maurer-Cartan-Form
enEnglish
Maurer–Cartan form
frFrench
Forme de Maurer-Cartan
itItalian
Forma di Maurer-Cartan
jaJapanese
モーレー・カルタンの微分形式
koKorean
마우러-카르탕 형식
ruRussian
Форма Маурера — Картана
ukUkrainian
Форма Маурера — Картана
zhChinese
马尤厄-嘉当形式

Popularity rank trends

Best Rank Italian:
#363808
07.2016
Global:
#810448
03.2014

AI rank trends

Best Rank Italian:
#43334
07.2016
Global:
#78305
09.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Maurer–Cartan form from Wikipedia articles about List of equations, Cartan connection, Lie algebra-valued differential form, Principal bundle connection and Darboux frame. Whereas reading the article about Maurer–Cartan form people most often go to Wikipedia articles on Lie algebra-valued differential form, Moving frame, Ludwig Maurer, Principal bundle connection and Logarithmic 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