Frobenius manifold

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Frobenius manifold

Quality:

Frobenius manifold - flat Riemannian manifold with a certain compatible multiplicative structure on the tangent space. Article “Frobenius manifold” in English Wikipedia has 9.1 points for quality (as of July 1, 2025). The article contains 1 references and 4 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 0.48 points.

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

Since the creation of article “Frobenius manifold”, its content was written by 16 registered users of English Wikipedia and edited by 22 registered Wikipedia users in all languages.

The article is cited 6 times in English Wikipedia and cited 13 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #89130 in October 2010
  • Global: #265216 in October 2010

The highest popularity rank from 2008:

  • Local (English): #1338161 in March 2014
  • Global: #2293021 in March 2014

There are 4 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
1Korean (ko)
프로베니우스 다양체
13.5391
2Chinese (zh)
弗罗贝尼乌斯流形
11.0083
3English (en)
Frobenius manifold
9.0601
4Japanese (ja)
フロベニウス多様体
5.1865
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 "Frobenius manifold" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Frobenius manifold
36 278
2Japanese (ja)
フロベニウス多様体
3 813
3Korean (ko)
프로베니우스 다양체
1 263
4Chinese (zh)
弗罗贝尼乌斯流形
239
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 "Frobenius manifold" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Frobenius manifold
223
2Japanese (ja)
フロベニウス多様体
18
3Chinese (zh)
弗罗贝尼乌斯流形
9
4Korean (ko)
프로베니우스 다양체
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 "Frobenius manifold" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Frobenius manifold
16
2Japanese (ja)
フロベニウス多様体
3
3Korean (ko)
프로베니우스 다양체
2
4Chinese (zh)
弗罗贝尼乌斯流形
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 "Frobenius manifold" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Frobenius manifold
0
2Japanese (ja)
フロベニウス多様体
0
3Korean (ko)
프로베니우스 다양체
0
4Chinese (zh)
弗罗贝尼乌斯流形
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 "Frobenius manifold" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Frobenius manifold
6
2Korean (ko)
프로베니우스 다양체
3
3Japanese (ja)
フロベニウス多様体
2
4Chinese (zh)
弗罗贝尼乌斯流形
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
enEnglish
Frobenius manifold
jaJapanese
フロベニウス多様体
koKorean
프로베니우스 다양체
zhChinese
弗罗贝尼乌斯流形

Popularity rank trends

Best Rank English:
#1338161
03.2014
Global:
#2293021
03.2014

AI rank trends

Best Rank English:
#89130
10.2010
Global:
#265216
10.2010

Languages comparison

Important global interconnections (July 2024 – June 2025)

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

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