Теорема Громова о компактности (Риманова геометрия)

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Теорема Громова о компактности (Риманова геометрия)

Quality:

Gromov's compactness theorem - On when a set of compact Riemannian manifolds of a given dimension is relatively compact. Article "Теорема Громова о компактности (Риманова геометрия)" in Russian Wikipedia has 10.6 points for quality (as of July 1, 2025). The article contains 1 references and 5 sections.

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

Since the creation of article "Теорема Громова о компактности (Риманова геометрия)", its content was written by 3 registered users of Russian Wikipedia and edited by 49 registered Wikipedia users in all languages.

The article is cited 8 times in Russian Wikipedia and cited 40 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #44037 in April 2016
  • Global: #111540 in October 2014

The highest popularity rank from 2008:

  • Local (Russian): #446727 in January 2018
  • Global: #1316322 in March 2009

There are 6 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
1Swedish (sv)
Gromovs kompakthetssats (geometri)
23.8476
2English (en)
Gromov's compactness theorem (geometry)
15.1872
3Ukrainian (uk)
Теорема Громова про компактність (ріманова геометрія)
12.9453
4Russian (ru)
Теорема Громова о компактности (Риманова геометрия)
10.6088
5German (de)
Kompaktheitssatz von Cheeger und Gromov
4.7166
6Dutch (nl)
Compactheidsstelling van Gromov
0.2254
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 Громова о компактности (Риманова геометрия)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Gromov's compactness theorem (geometry)
46 028
2Russian (ru)
Теорема Громова о компактности (Риманова геометрия)
6 844
3German (de)
Kompaktheitssatz von Cheeger und Gromov
1 989
4Dutch (nl)
Compactheidsstelling van Gromov
700
5Swedish (sv)
Gromovs kompakthetssats (geometri)
283
6Ukrainian (uk)
Теорема Громова про компактність (ріманова геометрія)
59
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 "Теорема Громова о компактности (Риманова геометрия)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Gromov's compactness theorem (geometry)
307
2Russian (ru)
Теорема Громова о компактности (Риманова геометрия)
48
3German (de)
Kompaktheitssatz von Cheeger und Gromov
13
4Ukrainian (uk)
Теорема Громова про компактність (ріманова геометрія)
7
5Swedish (sv)
Gromovs kompakthetssats (geometri)
5
6Dutch (nl)
Compactheidsstelling van Gromov
3
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 Громова о компактности (Риманова геометрия)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Gromov's compactness theorem (geometry)
29
2German (de)
Kompaktheitssatz von Cheeger und Gromov
11
3Russian (ru)
Теорема Громова о компактности (Риманова геометрия)
3
4Swedish (sv)
Gromovs kompakthetssats (geometri)
3
5Dutch (nl)
Compactheidsstelling van Gromov
2
6Ukrainian (uk)
Теорема Громова про компактність (ріманова геометрія)
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 "Теорема Громова о компактности (Риманова геометрия)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Swedish (sv)
Gromovs kompakthetssats (geometri)
1
2German (de)
Kompaktheitssatz von Cheeger und Gromov
0
3English (en)
Gromov's compactness theorem (geometry)
0
4Dutch (nl)
Compactheidsstelling van Gromov
0
5Russian (ru)
Теорема Громова о компактности (Риманова геометрия)
0
6Ukrainian (uk)
Теорема Громова про компактність (ріманова 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 "Теорема Громова о компактности (Риманова геометрия)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Gromov's compactness theorem (geometry)
16
2Ukrainian (uk)
Теорема Громова про компактність (ріманова геометрія)
9
3Russian (ru)
Теорема Громова о компактности (Риманова геометрия)
8
4German (de)
Kompaktheitssatz von Cheeger und Gromov
5
5Dutch (nl)
Compactheidsstelling van Gromov
1
6Swedish (sv)
Gromovs kompakthetssats (geometri)
1
More...

Scores

Estimated value for Wikipedia:
Russian:
Global:
Popularity in June 2025:
Russian:
Global:
Popularity in all years:
Russian:
Global:
Authors in June 2025:
Russian:
Global:
Registered authors in all years:
Russian:
Global:
Citations:
Russian:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Kompaktheitssatz von Cheeger und Gromov
enEnglish
Gromov's compactness theorem (geometry)
nlDutch
Compactheidsstelling van Gromov
ruRussian
Теорема Громова о компактности (Риманова геометрия)
svSwedish
Gromovs kompakthetssats (geometri)
ukUkrainian
Теорема Громова про компактність (ріманова геометрія)

Popularity rank trends

Best Rank Russian:
#446727
01.2018
Global:
#1316322
03.2009

AI rank trends

Best Rank Russian:
#44037
04.2016
Global:
#111540
10.2014

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Gromov's compactness theorem from Wikipedia articles about Mikhail Gromov, Bishop–Gromov inequality, Gromov–Hausdorff convergence, Myerss theorem and Alexandrov space. Whereas reading the article about Gromov's compactness theorem people most often go to Wikipedia articles on Gromov–Hausdorff convergence, Mikhail Gromov, Gromovs compactness theorem, Bishop–Gromov inequality and Gromovs theorem on groups of polynomial growth.

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 Russian Wikipedia the most popular articles on that day were: Яндекс, Главы Курска, Анкоридж, Аляска, Уэнздей (2-й сезон), Катастрофа АПЛ «Курск», Бутусов, Юрий Николаевич, Продажа Аляски, К-141 «Курск», Корж, Макс.

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