Теорема Адамара — Картана

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Теорема Адамара — Картана

Quality:

Cartan–Hadamard theorem - On the structure of complete Riemannian manifolds of non-positive sectional curvature. Article "Теорема Адамара — Картана" in Ukrainian Wikipedia has 15.5 points for quality (as of August 1, 2024). The article contains 2 references and 3 sections.

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

Since the creation of article "Теорема Адамара — Картана", its content was written by 4 registered users of Ukrainian Wikipedia and edited by 61 registered Wikipedia users in all languages.

The article is cited 3 times in Ukrainian Wikipedia and cited 67 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Ukrainian): #2163 in March 2024
  • Global: #156837 in June 2013

The highest popularity rank from 2008:

  • Local (Ukrainian): #132971 in January 2019
  • Global: #1492364 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 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
1Russian (ru)
Теорема Адамара — Картана
25.8608
2French (fr)
Théorème de Cartan-Hadamard
18.581
3Ukrainian (uk)
Теорема Адамара — Картана
15.45
4German (de)
Satz von Cartan-Hadamard
12.8924
5English (en)
Cartan–Hadamard theorem
11.6786
6Spanish (es)
Teorema de Cartan–Hadamard
7.2274
7Dutch (nl)
Stelling van Cartan-Hadamard
1.5959
8Portuguese (pt)
Teorema de Cartan-Hadamard
0.9472
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 "Теорема Адамара — Картана" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cartan–Hadamard theorem
68 827
2Russian (ru)
Теорема Адамара — Картана
8 523
3German (de)
Satz von Cartan-Hadamard
6 392
4Portuguese (pt)
Teorema de Cartan-Hadamard
2 300
5French (fr)
Théorème de Cartan-Hadamard
1 213
6Dutch (nl)
Stelling van Cartan-Hadamard
671
7Spanish (es)
Teorema de Cartan–Hadamard
464
8Ukrainian (uk)
Теорема Адамара — Картана
142
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 "Теорема Адамара — Картана" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Cartan–Hadamard theorem
355
2German (de)
Satz von Cartan-Hadamard
35
3French (fr)
Théorème de Cartan-Hadamard
32
4Russian (ru)
Теорема Адамара — Картана
29
5Spanish (es)
Teorema de Cartan–Hadamard
21
6Portuguese (pt)
Teorema de Cartan-Hadamard
15
7Dutch (nl)
Stelling van Cartan-Hadamard
2
8Ukrainian (uk)
Теорема Адамара — Картана
2
More...

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

The highest AI

Language versions of the article "Теорема Адамара — Картана" 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
2
7Dutch (nl)
Stelling van Cartan-Hadamard
2
8Spanish (es)
Teorema de Cartan–Hadamard
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 July 2024

Language versions of the article "Теорема Адамара — Картана" with the highest AI in July 2024
#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 "Теорема Адамара — Картана" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Russian (ru)
Теорема Адамара — Картана
19
2English (en)
Cartan–Hadamard theorem
18
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:
Ukrainian:
Global:
Popularity in July 2024:
Ukrainian:
Global:
Popularity in all years:
Ukrainian:
Global:
Authors in July 2024:
Ukrainian:
Global:
Registered authors in all years:
Ukrainian:
Global:
Citations:
Ukrainian:
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 Ukrainian:
#132971
01.2019
Global:
#1492364
05.2018

AI rank trends

Best Rank Ukrainian:
#2163
03.2024
Global:
#156837
06.2013

Local AI rank history

Languages comparison

Important global interconnections

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

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 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