弗罗贝尼乌斯定理

Quality:

Frobenius theorem - theorem that a distribution is integrable iff it arises from a regular foliation. Article “弗罗贝尼乌斯定理” in Chinese Wikipedia has 4.1 points for quality (as of July 1, 2025). The article contains 0 references and 2 sections.

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

Since the creation of article “弗罗贝尼乌斯定理”, its content was written by 13 registered users of Chinese Wikipedia and edited by 117 registered Wikipedia users in all languages.

The article is cited 22 times in Chinese Wikipedia and cited 290 times in all languages.

The highest Authors Interest rank from 2001:

Local (Chinese): #3585 in January 2019
Global: #72066 in April 2004

The highest popularity rank from 2008:

Local (Chinese): #74305 in January 2008
Global: #587972 in November 2024

There are 8 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

#	Language	Quality score
1	Romanian (ro) Teorema de integrabilitate a lui Frobenius	53.6929
2	English (en) Frobenius theorem (differential topology)	45.0157
3	French (fr) Théorème de Frobenius (géométrie différentielle)	18.3421
4	German (de) Satz von Frobenius (Differentialtopologie)	17.2541
5	Catalan (ca) Teorema de Frobenius	14.2998
6	Ukrainian (uk) Теорема Фробеніуса (диференціальна геометрія)	9.6242
7	Japanese (ja) フロベニウスの定理 (微分トポロジー)	4.4468
8	Chinese (zh) 弗罗贝尼乌斯定理	4.1352

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 "弗罗贝尼乌斯定理" in all the time

#	Language	Relative popularity
1	English (en) Frobenius theorem (differential topology)	324 117
2	Chinese (zh) 弗罗贝尼乌斯定理	19 281
3	French (fr) Théorème de Frobenius (géométrie différentielle)	17 953
4	German (de) Satz von Frobenius (Differentialtopologie)	14 376
5	Romanian (ro) Teorema de integrabilitate a lui Frobenius	9 600
6	Japanese (ja) フロベニウスの定理 (微分トポロジー)	9 500
7	Ukrainian (uk) Теорема Фробеніуса (диференціальна геометрія)	827
8	Catalan (ca) Teorema de Frobenius	148

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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 "弗罗贝尼乌斯定理" in June 2025

#	Language	Relative popularity
1	English (en) Frobenius theorem (differential topology)	2 133
2	Japanese (ja) フロベニウスの定理 (微分トポロジー)	124
3	French (fr) Théorème de Frobenius (géométrie différentielle)	84
4	Chinese (zh) 弗罗贝尼乌斯定理	80
5	German (de) Satz von Frobenius (Differentialtopologie)	79
6	Romanian (ro) Teorema de integrabilitate a lui Frobenius	18
7	Ukrainian (uk) Теорема Фробеніуса (диференціальна геометрія)	10
8	Catalan (ca) Teorema de Frobenius	7

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

The highest AI

Language versions of the article "弗罗贝尼乌斯定理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	Relative AI
1	English (en) Frobenius theorem (differential topology)	60
2	French (fr) Théorème de Frobenius (géométrie différentielle)	18
3	Chinese (zh) 弗罗贝尼乌斯定理	13
4	German (de) Satz von Frobenius (Differentialtopologie)	11
5	Japanese (ja) フロベニウスの定理 (微分トポロジー)	5
6	Romanian (ro) Teorema de integrabilitate a lui Frobenius	5
7	Ukrainian (uk) Теорема Фробеніуса (диференціальна геометрія)	3
8	Catalan (ca) Teorema de Frobenius	2

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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 "弗罗贝尼乌斯定理" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Catalan (ca) Teorema de Frobenius		0
2	German (de) Satz von Frobenius (Differentialtopologie)		0
3	English (en) Frobenius theorem (differential topology)		0
4	French (fr) Théorème de Frobenius (géométrie différentielle)		0
5	Japanese (ja) フロベニウスの定理 (微分トポロジー)		0
6	Romanian (ro) Teorema de integrabilitate a lui Frobenius		0
7	Ukrainian (uk) Теорема Фробеніуса (диференціальна геометрія)		0
8	Chinese (zh) 弗罗贝尼乌斯定理		0

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

The highest CI

Language versions of the article "弗罗贝尼乌斯定理" with the highest Citation Index (CI)

#	Language	Relative CI
1	English (en) Frobenius theorem (differential topology)	229
2	Chinese (zh) 弗罗贝尼乌斯定理	22
3	German (de) Satz von Frobenius (Differentialtopologie)	10
4	French (fr) Théorème de Frobenius (géométrie différentielle)	10
5	Japanese (ja) フロベニウスの定理 (微分トポロジー)	8
6	Catalan (ca) Teorema de Frobenius	4
7	Romanian (ro) Teorema de integrabilitate a lui Frobenius	4
8	Ukrainian (uk) Теорема Фробеніуса (диференціальна геометрія)	3

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Scores

Estimated value for Wikipedia:

Chinese:

Global:

Popularity in June 2025:

Chinese:

Global:

Popularity in all years:

Chinese:

Global:

Authors in June 2025:

Chinese:

Global:

Registered authors in all years:

Chinese:

Global:

Citations:

Chinese:

Global:

Quality measures

Interwikis

#	Language	Value
ca	Catalan Teorema de Frobenius
de	German Satz von Frobenius (Differentialtopologie)
en	English Frobenius theorem (differential topology)
fr	French Théorème de Frobenius (géométrie différentielle)
ja	Japanese フロベニウスの定理 (微分トポロジー)
ro	Romanian Teorema de integrabilitate a lui Frobenius
uk	Ukrainian Теорема Фробеніуса (диференціальна геометрія)
zh	Chinese 弗罗贝尼乌斯定理

Popularity rank trends

Best Rank	Chinese: #74305 01.2008	Global: #587972 11.2024

AI rank trends

Best Rank	Chinese: #3585 01.2019	Global: #72066 04.2004

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Frobenius theorem from Wikipedia articles about Frobenius theorem, Lie bracket of vector fields, Darbouxs theorem, Contact geometry and Picard–Lindelöf theorem. Whereas reading the article about Frobenius theorem people most often go to Wikipedia articles on Integrability conditions for differential systems, Foliation, Frobenius theorem, Contact geometry and Ferdinand Georg Frobenius.

Cumulative results of quality and popularity of the Wikipedia article

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

en: Frobenius theorem (differential topology)

zh: 弗罗贝尼乌斯定理

fr: Théorème de Frobenius (géométrie différentielle)

de: Satz von Frobenius (Differentialtopologie)

ro: Teorema de integrabilitate a lui Frobenius

ja: フロベニウスの定理 (微分トポロジー)

uk: Теорема Фробеніуса (диференціальна геометрія)

ca: Teorema de Frobenius

News from 9 December 2025

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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

Quality and popularity assessment of Wikipedia

弗罗贝尼乌斯定理