Flat manifold

en

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Flat manifold

Quality:

Flat manifold - Riemannian manifold with vanishing Riemann curvature. Article “Flat manifold” in English Wikipedia has 25.2 points for quality (as of July 1, 2025). The article contains 7 references and 11 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.33 points.

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

In June 2025 the article “Flat manifold” was edited by 2 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Flat manifold”, its content was written by 26 registered users of English Wikipedia and edited by 59 registered Wikipedia users in all languages.

The article is cited 197 times in English Wikipedia and cited 234 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #68120 in September 2024
  • Global: #103459 in April 2013

The highest popularity rank from 2008:

  • Local (English): #781123 in March 2016
  • Global: #1267948 in March 2016

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
1English (en)
Flat manifold
25.2032
2Catalan (ca)
Varietat plana
19.6875
3German (de)
Flache Mannigfaltigkeit
15.2832
4French (fr)
Variété plate
12.8657
5Italian (it)
Varietà piatta
11.8957
6Spanish (es)
Variedad plana
8.025
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 "Flat manifold" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Flat manifold
101 860
2German (de)
Flache Mannigfaltigkeit
9 660
3Italian (it)
Varietà piatta
6 201
4French (fr)
Variété plate
2 672
5Spanish (es)
Variedad plana
1 062
6Catalan (ca)
Varietat plana
28
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 "Flat manifold" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Flat manifold
681
2German (de)
Flache Mannigfaltigkeit
52
3French (fr)
Variété plate
27
4Italian (it)
Varietà piatta
16
5Spanish (es)
Variedad plana
9
6Catalan (ca)
Varietat plana
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 "Flat manifold" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Flat manifold
26
2Italian (it)
Varietà piatta
12
3German (de)
Flache Mannigfaltigkeit
11
4French (fr)
Variété plate
8
5Catalan (ca)
Varietat plana
1
6Spanish (es)
Variedad plana
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 "Flat manifold" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Flat manifold
2
2Italian (it)
Varietà piatta
1
3Catalan (ca)
Varietat plana
0
4German (de)
Flache Mannigfaltigkeit
0
5Spanish (es)
Variedad plana
0
6French (fr)
Variété plate
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 "Flat manifold" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Flat manifold
197
2German (de)
Flache Mannigfaltigkeit
25
3Italian (it)
Varietà piatta
9
4French (fr)
Variété plate
3
5Catalan (ca)
Varietat plana
0
6Spanish (es)
Variedad plana
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
caCatalan
Varietat plana
deGerman
Flache Mannigfaltigkeit
enEnglish
Flat manifold
esSpanish
Variedad plana
frFrench
Variété plate
itItalian
Varietà piatta

Popularity rank trends

Best Rank English:
#781123
03.2016
Global:
#1267948
03.2016

AI rank trends

Best Rank English:
#68120
09.2024
Global:
#103459
04.2013

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Flat manifold from Wikipedia articles about Shape of the universe, Three-torus, Surface, Möbius strip and Conformally flat manifold. Whereas reading the article about Flat manifold people most often go to Wikipedia articles on Riemann curvature tensor, Hantzsche–Wendt manifold, Riemannian manifold, Space group and Orbifold.

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