Submanifold

en

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Submanifold

Quality:

Submanifold - subset of a manifold that is a manifold itself; an injective immersion into a manifold. Article “Submanifold” in English Wikipedia has 24 points for quality (as of July 1, 2025). The article contains 3 references and 8 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Submanifold”, its content was written by 35 registered users of English Wikipedia and edited by 98 registered Wikipedia users in all languages.

The article is cited 294 times in English Wikipedia and cited 479 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #67680 in November 2006
  • Global: #131083 in March 2005

The highest popularity rank from 2008:

  • Local (English): #401435 in November 2014
  • Global: #408952 in July 2008

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
1English (en)
Submanifold
23.9643
2Chinese (zh)
子流形
20.1864
3Portuguese (pt)
Subvariedade
13.3867
4German (de)
Untermannigfaltigkeit
6.4545
5Russian (ru)
Подмногообразие
3.6087
6Japanese (ja)
部分多様体
2.5304
7Dutch (nl)
Deelvariëteit
1.436
8Ukrainian (uk)
Підмноговид
1.1319
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 "Submanifold" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Submanifold
353 278
2German (de)
Untermannigfaltigkeit
148 346
3Russian (ru)
Подмногообразие
23 028
4Japanese (ja)
部分多様体
21 099
5Chinese (zh)
子流形
19 670
6Portuguese (pt)
Subvariedade
7 785
7Dutch (nl)
Deelvariëteit
3 037
8Ukrainian (uk)
Підмноговид
1 546
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 "Submanifold" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Submanifold
2 344
2German (de)
Untermannigfaltigkeit
777
3Japanese (ja)
部分多様体
180
4Chinese (zh)
子流形
104
5Russian (ru)
Подмногообразие
96
6Dutch (nl)
Deelvariëteit
36
7Portuguese (pt)
Subvariedade
17
8Ukrainian (uk)
Підмноговид
8
More...

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

The highest AI

Language versions of the article "Submanifold" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Submanifold
35
2German (de)
Untermannigfaltigkeit
24
3Russian (ru)
Подмногообразие
13
4Chinese (zh)
子流形
8
5Ukrainian (uk)
Підмноговид
7
6Japanese (ja)
部分多様体
5
7Dutch (nl)
Deelvariëteit
4
8Portuguese (pt)
Subvariedade
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 "Submanifold" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Untermannigfaltigkeit
0
2English (en)
Submanifold
0
3Japanese (ja)
部分多様体
0
4Dutch (nl)
Deelvariëteit
0
5Portuguese (pt)
Subvariedade
0
6Russian (ru)
Подмногообразие
0
7Ukrainian (uk)
Підмноговид
0
8Chinese (zh)
子流形
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 "Submanifold" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Submanifold
294
2German (de)
Untermannigfaltigkeit
70
3Russian (ru)
Подмногообразие
27
4Japanese (ja)
部分多様体
25
5Ukrainian (uk)
Підмноговид
20
6Chinese (zh)
子流形
20
7Dutch (nl)
Deelvariëteit
14
8Portuguese (pt)
Subvariedade
9
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
Untermannigfaltigkeit
enEnglish
Submanifold
jaJapanese
部分多様体
nlDutch
Deelvariëteit
ptPortuguese
Subvariedade
ruRussian
Подмногообразие
ukUkrainian
Підмноговид
zhChinese
子流形

Popularity rank trends

Best Rank English:
#401435
11.2014
Global:
#408952
07.2008

AI rank trends

Best Rank English:
#67680
11.2006
Global:
#131083
03.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Submanifold from Wikipedia articles about Riemannian manifold, Immersion, De Sitter space, Foliation and Superstring theory. Whereas reading the article about Submanifold people most often go to Wikipedia articles on Manifold, Immersion, Embedding, Inclusion map and Wikipedia article.

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 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

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