Sectional curvature

en

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Sectional curvature

Quality:

Sectional curvature - scalar quantity; given two unit tangent vectors u, v at the same point, defined as K(u,v) = ⟨R(u,v)v,u⟩/(1-⟨u,v⟩²), where R is the Riemann curvature. Article “Sectional curvature” in English Wikipedia has 24.9 points for quality (as of July 1, 2025). The article contains 2 references and 11 sections.

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

Since the creation of article “Sectional curvature”, its content was written by 46 registered users of English Wikipedia and edited by 105 registered Wikipedia users in all languages.

The article is cited 144 times in English Wikipedia and cited 423 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #13401 in August 2003
  • Global: #23211 in August 2003

The highest popularity rank from 2008:

  • Local (English): #477997 in March 2020
  • Global: #674373 in April 2015

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
1Korean (ko)
단면 곡률
26.4661
2English (en)
Sectional curvature
24.8752
3French (fr)
Courbure sectionnelle
20.5513
4German (de)
Schnittkrümmung
18.4073
5Ukrainian (uk)
Секційна кривина
17.2528
6Chinese (zh)
截面曲率
7.7907
7Japanese (ja)
断面曲率
6.4854
8Italian (it)
Curvatura sezionale
5.1383
9Russian (ru)
Секционная кривизна
3.397
10Romanian (ro)
Curbură secțională
2.1223
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 "Sectional curvature" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Sectional curvature
244 331
2German (de)
Schnittkrümmung
28 698
3Chinese (zh)
截面曲率
14 801
4Japanese (ja)
断面曲率
14 155
5Italian (it)
Curvatura sezionale
12 714
6Russian (ru)
Секционная кривизна
7 063
7French (fr)
Courbure sectionnelle
5 245
8Korean (ko)
단면 곡률
4 046
9Ukrainian (uk)
Секційна кривина
1 114
10Dutch (nl)
Sectiekromming
825
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 "Sectional curvature" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Sectional curvature
1 683
2German (de)
Schnittkrümmung
111
3Japanese (ja)
断面曲率
91
4Korean (ko)
단면 곡률
86
5Italian (it)
Curvatura sezionale
69
6Russian (ru)
Секционная кривизна
59
7Chinese (zh)
截面曲率
39
8French (fr)
Courbure sectionnelle
36
9Romanian (ro)
Curbură secțională
8
10Ukrainian (uk)
Секційна кривина
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 "Sectional curvature" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Sectional curvature
46
2German (de)
Schnittkrümmung
18
3French (fr)
Courbure sectionnelle
8
4Japanese (ja)
断面曲率
7
5Italian (it)
Curvatura sezionale
6
6Chinese (zh)
截面曲率
6
7Ukrainian (uk)
Секційна кривина
4
8Korean (ko)
단면 곡률
3
9Romanian (ro)
Curbură secțională
3
10Russian (ru)
Секционная кривизна
3
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 "Sectional curvature" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Russian (ru)
Секционная кривизна
1
2German (de)
Schnittkrümmung
0
3English (en)
Sectional curvature
0
4French (fr)
Courbure sectionnelle
0
5Italian (it)
Curvatura sezionale
0
6Japanese (ja)
断面曲率
0
7Korean (ko)
단면 곡률
0
8Dutch (nl)
Sectiekromming
0
9Romanian (ro)
Curbură secțională
0
10Ukrainian (uk)
Секційна кривина
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 "Sectional curvature" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Sectional curvature
144
2German (de)
Schnittkrümmung
94
3French (fr)
Courbure sectionnelle
50
4Chinese (zh)
截面曲率
29
5Russian (ru)
Секционная кривизна
24
6Japanese (ja)
断面曲率
23
7Italian (it)
Curvatura sezionale
20
8Korean (ko)
단면 곡률
12
9Ukrainian (uk)
Секційна кривина
12
10Romanian (ro)
Curbură secțională
8
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
Schnittkrümmung
enEnglish
Sectional curvature
frFrench
Courbure sectionnelle
itItalian
Curvatura sezionale
jaJapanese
断面曲率
koKorean
단면 곡률
nlDutch
Sectiekromming
roRomanian
Curbură secțională
ruRussian
Секционная кривизна
ukUkrainian
Секційна кривина
zhChinese
截面曲率

Popularity rank trends

Best Rank English:
#477997
03.2020
Global:
#674373
04.2015

AI rank trends

Best Rank English:
#13401
08.2003
Global:
#23211
08.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Sectional curvature from Wikipedia articles about Hyperbolic space, Soul theorem, Gaussian curvature, Constant curvature and Riemann curvature tensor. Whereas reading the article about Sectional curvature people most often go to Wikipedia articles on Riemann curvature tensor, Curvature of Riemannian manifolds, Gaussian curvature, Grassmannian and Schurs lemma.

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 English Wikipedia the most popular articles on that day were: 2026 Iran war, Mojtaba Khamenei, Deaths in 2026, Ali Khamenei, War Machine (upcoming film), Enhypen, Jennifer Runyon, Pete Hegseth, 2026 World Baseball Classic, Iran.

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