Cartan–Hadamard theorem

en

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Cartan–Hadamard theorem

Quality:

Cartan–Hadamard theorem - On the structure of complete Riemannian manifolds of non-positive sectional curvature. Article "Cartan–Hadamard theorem" in English Wikipedia has 11.7 points for quality (as of July 1, 2025). The article contains 0 references and 6 sections.

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

Since the creation of article "Cartan–Hadamard theorem", its content was written by 30 registered users of English Wikipedia and edited by 63 registered Wikipedia users in all languages.

The article is cited 19 times in English Wikipedia and cited 68 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #234080 in October 2022
  • Global: #156875 in June 2013

The highest popularity rank from 2008:

  • Local (English): #998981 in October 2011
  • Global: #1489644 in May 2018

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

#LanguageQuality gradeQuality score
1Russian (ru)
Теорема Адамара — Картана
25.7907
2French (fr)
Théorème de Cartan-Hadamard
18.5156
3Ukrainian (uk)
Теорема Адамара — Картана
14.2959
4German (de)
Satz von Cartan-Hadamard
12.7778
5English (en)
Cartan–Hadamard theorem
11.6651
6Spanish (es)
Teorema de Cartan–Hadamard
7.223
7Dutch (nl)
Stelling van Cartan-Hadamard
1.5981
8Portuguese (pt)
Teorema de Cartan-Hadamard
0.9586
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 "Cartan–Hadamard theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cartan–Hadamard theorem
73 519
2Russian (ru)
Теорема Адамара — Картана
9 037
3German (de)
Satz von Cartan-Hadamard
6 620
4Portuguese (pt)
Teorema de Cartan-Hadamard
2 414
5French (fr)
Théorème de Cartan-Hadamard
1 516
6Spanish (es)
Teorema de Cartan–Hadamard
746
7Dutch (nl)
Stelling van Cartan-Hadamard
713
8Ukrainian (uk)
Теорема Адамара — Картана
183
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 "Cartan–Hadamard theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Cartan–Hadamard theorem
503
2Russian (ru)
Теорема Адамара — Картана
95
3Spanish (es)
Teorema de Cartan–Hadamard
36
4German (de)
Satz von Cartan-Hadamard
23
5French (fr)
Théorème de Cartan-Hadamard
23
6Ukrainian (uk)
Теорема Адамара — Картана
12
7Portuguese (pt)
Teorema de Cartan-Hadamard
9
8Dutch (nl)
Stelling van Cartan-Hadamard
6
More...

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

The highest AI

Language versions of the article "Cartan–Hadamard theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cartan–Hadamard theorem
30
2German (de)
Satz von Cartan-Hadamard
9
3Russian (ru)
Теорема Адамара — Картана
9
4Portuguese (pt)
Teorema de Cartan-Hadamard
4
5Ukrainian (uk)
Теорема Адамара — Картана
4
6French (fr)
Théorème de Cartan-Hadamard
3
7Spanish (es)
Teorema de Cartan–Hadamard
2
8Dutch (nl)
Stelling van Cartan-Hadamard
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 "Cartan–Hadamard theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Satz von Cartan-Hadamard
0
2English (en)
Cartan–Hadamard theorem
0
3Spanish (es)
Teorema de Cartan–Hadamard
0
4French (fr)
Théorème de Cartan-Hadamard
0
5Dutch (nl)
Stelling van Cartan-Hadamard
0
6Portuguese (pt)
Teorema de Cartan-Hadamard
0
7Russian (ru)
Теорема Адамара — Картана
0
8Ukrainian (uk)
Теорема Адамара — Картана
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 "Cartan–Hadamard theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Cartan–Hadamard theorem
19
2Russian (ru)
Теорема Адамара — Картана
19
3German (de)
Satz von Cartan-Hadamard
12
4French (fr)
Théorème de Cartan-Hadamard
12
5Ukrainian (uk)
Теорема Адамара — Картана
3
6Dutch (nl)
Stelling van Cartan-Hadamard
2
7Spanish (es)
Teorema de Cartan–Hadamard
1
8Portuguese (pt)
Teorema de Cartan-Hadamard
0
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
deGerman
Satz von Cartan-Hadamard
enEnglish
Cartan–Hadamard theorem
esSpanish
Teorema de Cartan–Hadamard
frFrench
Théorème de Cartan-Hadamard
nlDutch
Stelling van Cartan-Hadamard
ptPortuguese
Teorema de Cartan-Hadamard
ruRussian
Теорема Адамара — Картана
ukUkrainian
Теорема Адамара — Картана

Popularity rank trends

Best Rank English:
#998981
10.2011
Global:
#1489644
05.2018

AI rank trends

Best Rank English:
#234080
10.2022
Global:
#156875
06.2013

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Cartan–Hadamard theorem from Wikipedia articles about Hadamard manifold, CAT(k) space, Riemannian geometry, Eilenberg–MacLane space and Hadamard space. Whereas reading the article about Cartan–Hadamard theorem people most often go to Wikipedia articles on Covering space, Hadamard space, Hadamard manifold, Cartan–Hadamard conjecture and Sectional curvature.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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