Kotangentialraum

de

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Kotangentialraum

Quality:

Cotangent space - dual space to the tangent space in differential geometry. Article “Kotangentialraum” in German Wikipedia has 6.4 points for quality (as of July 1, 2025). The article contains 0 references and 5 sections.

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

Since the creation of article “Kotangentialraum”, its content was written by 23 registered users of German Wikipedia and edited by 123 registered Wikipedia users in all languages.

The article is cited 16 times in German Wikipedia and cited 282 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #14985 in September 2012
  • Global: #1625 in September 2001

The highest popularity rank from 2008:

  • Local (German): #328305 in June 2016
  • Global: #491012 in August 2024

There are 11 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
1Catalan (ca)
Espai cotangent
20.5762
2Portuguese (pt)
Espaço cotangente
20.5138
3English (en)
Cotangent space
15.1844
4Spanish (es)
Espacio cotangente
8.9051
5Japanese (ja)
余接空間
6.6112
6German (de)
Kotangentialraum
6.4254
7Polish (pl)
Przestrzeń kostyczna
2.4933
8Ukrainian (uk)
Кодотичний простір
2.0874
9Italian (it)
Spazio cotangente
2.0403
10Russian (ru)
Кокасательное пространство
1.1739
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 "Kotangentialraum" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cotangent space
263 521
2Russian (ru)
Кокасательное пространство
27 872
3German (de)
Kotangentialraum
25 558
4Japanese (ja)
余接空間
23 997
5Italian (it)
Spazio cotangente
16 316
6Polish (pl)
Przestrzeń kostyczna
8 216
7Ukrainian (uk)
Кодотичний простір
1 788
8Spanish (es)
Espacio cotangente
1 487
9Dutch (nl)
Coraakruimte
1 292
10Portuguese (pt)
Espaço cotangente
1 097
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 "Kotangentialraum" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Cotangent space
1 593
2Japanese (ja)
余接空間
233
3Russian (ru)
Кокасательное пространство
132
4Italian (it)
Spazio cotangente
130
5German (de)
Kotangentialraum
77
6Spanish (es)
Espacio cotangente
31
7Polish (pl)
Przestrzeń kostyczna
15
8Portuguese (pt)
Espaço cotangente
12
9Ukrainian (uk)
Кодотичний простір
10
10Catalan (ca)
Espai cotangent
4
More...

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

The highest AI

Language versions of the article "Kotangentialraum" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cotangent space
43
2German (de)
Kotangentialraum
23
3Russian (ru)
Кокасательное пространство
22
4Italian (it)
Spazio cotangente
11
5Japanese (ja)
余接空間
6
6Ukrainian (uk)
Кодотичний простір
5
7Polish (pl)
Przestrzeń kostyczna
4
8Spanish (es)
Espacio cotangente
3
9Dutch (nl)
Coraakruimte
3
10Catalan (ca)
Espai cotangent
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 "Kotangentialraum" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Italian (it)
Spazio cotangente
2
2Catalan (ca)
Espai cotangent
0
3German (de)
Kotangentialraum
0
4English (en)
Cotangent space
0
5Spanish (es)
Espacio cotangente
0
6Japanese (ja)
余接空間
0
7Dutch (nl)
Coraakruimte
0
8Polish (pl)
Przestrzeń kostyczna
0
9Portuguese (pt)
Espaço cotangente
0
10Russian (ru)
Кокасательное пространство
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 "Kotangentialraum" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Cotangent space
194
2Russian (ru)
Кокасательное пространство
27
3German (de)
Kotangentialraum
16
4Japanese (ja)
余接空間
14
5Spanish (es)
Espacio cotangente
10
6Italian (it)
Spazio cotangente
7
7Ukrainian (uk)
Кодотичний простір
5
8Polish (pl)
Przestrzeń kostyczna
4
9Dutch (nl)
Coraakruimte
2
10Portuguese (pt)
Espaço cotangente
2
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
caCatalan
Espai cotangent
deGerman
Kotangentialraum
enEnglish
Cotangent space
esSpanish
Espacio cotangente
itItalian
Spazio cotangente
jaJapanese
余接空間
nlDutch
Coraakruimte
plPolish
Przestrzeń kostyczna
ptPortuguese
Espaço cotangente
ruRussian
Кокасательное пространство
ukUkrainian
Кодотичний простір

Popularity rank trends

Best Rank German:
#328305
06.2016
Global:
#491012
08.2024

AI rank trends

Best Rank German:
#14985
09.2012
Global:
#1625
09.2001

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Cotangent space from Wikipedia articles about Cotangent bundle, Tangent space, Gradient, Differential form and Einstein notation. Whereas reading the article about Cotangent space people most often go to Wikipedia articles on Dual space, Tangent space, Cotangent bundle, Lie derivative and Zariski tangent space.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 10 March 2026

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In German Wikipedia the most popular articles on that day were: Cem Özdemir, Wanda Perdelwitz, Luise von Mecklenburg-Strelitz, Liste der größten Auslegerbrücken, Landtagswahl in Baden-Württemberg 2026, Dot Rotten, Guido Westerwelle, Manuel Hagel, Boris Palmer, Irankrieg 2026.

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