Théorème de la sphère

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Théorème de la sphère

Quality:

Sphere theorem - theorem stating that a complete, simply-connected, n-dimensional Riemannian manifold with sectional curvature taking values in the interval (1, 4] is homeomorphic to the n-sphere. Article "Théorème de la sphère" in French Wikipedia has 21 points for quality (as of August 1, 2024). The article contains 12 references and 9 sections.

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

Since the creation of article "Théorème de la sphère", its content was written by 11 registered users of French Wikipedia and edited by 61 registered Wikipedia users in all languages.

The article is cited 9 times in French Wikipedia and cited 64 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (French): #10525 in July 2018
  • Global: #236804 in November 2010

The highest popularity rank from 2008:

  • Local (French): #297605 in August 2018
  • Global: #1328561 in September 2023

There are 5 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 August 1, 2024 (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)
Sphärensatz
31.8196
2French (fr)
Théorème de la sphère
20.9871
3English (en)
Sphere theorem
15.1508
4Russian (ru)
Теорема о сфере (дифференциальная геометрия)
7.255
5Ukrainian (uk)
Теорема про сферу (диференціальна геометрія)
6.7577
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 "Théorème de la sphère" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Sphere theorem
79 250
2German (de)
Sphärensatz
8 923
3Russian (ru)
Теорема о сфере (дифференциальная геометрия)
4 565
4French (fr)
Théorème de la sphère
2 685
5Ukrainian (uk)
Теорема про сферу (диференціальна геометрія)
99
More...

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

Most popular in July 2024

The most popular language versions of the article "Théorème de la sphère" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Sphere theorem
414
2Russian (ru)
Теорема о сфере (дифференциальная геометрия)
54
3French (fr)
Théorème de la sphère
37
4German (de)
Sphärensatz
12
5Ukrainian (uk)
Теорема про сферу (диференціальна геометрія)
1
More...

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

The highest AI

Language versions of the article "Théorème de la sphère" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Sphere theorem
22
2German (de)
Sphärensatz
19
3French (fr)
Théorème de la sphère
11
4Ukrainian (uk)
Теорема про сферу (диференціальна геометрія)
6
5Russian (ru)
Теорема о сфере (дифференциальная геометрия)
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 July 2024

Language versions of the article "Théorème de la sphère" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Sphere theorem
1
2German (de)
Sphärensatz
0
3French (fr)
Théorème de la sphère
0
4Russian (ru)
Теорема о сфере (дифференциальная геометрия)
0
5Ukrainian (uk)
Теорема про сферу (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 "Théorème de la sphère" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Sphere theorem
25
2German (de)
Sphärensatz
17
3French (fr)
Théorème de la sphère
9
4Russian (ru)
Теорема о сфере (дифференциальная геометрия)
9
5Ukrainian (uk)
Теорема про сферу (диференціальна геометрія)
4
More...

Scores

Estimated value for Wikipedia:
French:
Global:
Popularity in July 2024:
French:
Global:
Popularity in all years:
French:
Global:
Authors in July 2024:
French:
Global:
Registered authors in all years:
French:
Global:
Citations:
French:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Sphärensatz
enEnglish
Sphere theorem
frFrench
Théorème de la sphère
ruRussian
Теорема о сфере (дифференциальная геометрия)
ukUkrainian
Теорема про сферу (диференціальна геометрія)

Popularity rank trends

Best Rank French:
#297605
08.2018
Global:
#1328561
09.2023

AI rank trends

Best Rank French:
#10525
07.2018
Global:
#236804
11.2010

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Sphere theorem from Wikipedia articles about Ricci flow, Riemannian geometry, Simon Brendle, Richard S. Hamilton and Richard Schoen. Whereas reading the article about Sphere theorem people most often go to Wikipedia articles on Sectional curvature, Sphere theorem, Simon Brendle, Fubini–Study metric and Exotic sphere.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 15 January 2025

On 15 January 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Squid Game, Elon Musk, Squid Game, season 2, deaths in 2025, ChatGPT, Nosferatu, Donald Trump, Neil Gaiman, Pete Hegseth, Greenland.

In French Wikipedia the most popular articles on that day were: Timothée Chalamet, Pauline Bonaparte, Bob Dylan, François Rebsamen, Soudan du Sud, Espaly-Saint-Marcel, N'oubliez pas les paroles !, Charlie Dalin, Philomena, Patricia Lyfoung.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information