共変微分

ja

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共変微分

Quality:

Covariant derivative - specification of derivatives along tangent vectors of a manifold. Article “共変微分” in Japanese Wikipedia has 0.2 points for quality (as of July 1, 2025).

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

Since the creation of article “共変微分”, its content was written by 17 registered users of Japanese Wikipedia and edited by 392 registered Wikipedia users in all languages.

The article is cited 26 times in Japanese Wikipedia and cited 1005 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #11565 in December 2019
  • Global: #10298 in March 2004

The highest popularity rank from 2008:

  • Local (Japanese): #172782 in May 2018
  • Global: #136581 in April 2015

There are 16 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)
Covariant derivative
40.8142
2Polish (pl)
Pochodna kowariantna
36.3916
3Basque (eu)
Deribatu kobariante
25.9888
4Chinese (zh)
协变微商
19.3667
5Spanish (es)
Derivada covariante
18.169
6Russian (ru)
Ковариантная производная
15.2521
7Portuguese (pt)
Derivada covariante
14.0624
8Catalan (ca)
Derivada covariant
13.4418
9French (fr)
Dérivée covariante
12.8709
10Italian (it)
Derivata covariante
12.0687
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 "共変微分" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Covariant derivative
1 558 787
2Spanish (es)
Derivada covariante
144 918
3Russian (ru)
Ковариантная производная
126 236
4French (fr)
Dérivée covariante
96 415
5Italian (it)
Derivata covariante
94 019
6Japanese (ja)
共変微分
71 040
7Chinese (zh)
协变微商
62 957
8Polish (pl)
Pochodna kowariantna
49 947
9Portuguese (pt)
Derivada covariante
32 031
10Persian (fa)
مشتق هموردا
21 415
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 "共変微分" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Covariant derivative
7 203
2Russian (ru)
Ковариантная производная
654
3Spanish (es)
Derivada covariante
478
4Italian (it)
Derivata covariante
365
5Japanese (ja)
共変微分
362
6Chinese (zh)
协变微商
362
7French (fr)
Dérivée covariante
267
8Portuguese (pt)
Derivada covariante
158
9Polish (pl)
Pochodna kowariantna
134
10Persian (fa)
مشتق هموردا
55
More...

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

The highest AI

Language versions of the article "共変微分" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Covariant derivative
151
2Russian (ru)
Ковариантная производная
43
3French (fr)
Dérivée covariante
35
4Italian (it)
Derivata covariante
35
5Polish (pl)
Pochodna kowariantna
26
6Japanese (ja)
共変微分
17
7Dutch (nl)
Covariante afgeleide
16
8Spanish (es)
Derivada covariante
13
9Catalan (ca)
Derivada covariant
12
10Chinese (zh)
协变微商
11
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 "共変微分" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Covariant derivative
2
2Chinese (zh)
协变微商
1
3Catalan (ca)
Derivada covariant
0
4Czech (cs)
Kovariantní derivace
0
5Spanish (es)
Derivada covariante
0
6Basque (eu)
Deribatu kobariante
0
7Persian (fa)
مشتق هموردا
0
8French (fr)
Dérivée covariante
0
9Italian (it)
Derivata covariante
0
10Japanese (ja)
共変微分
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 "共変微分" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Covariant derivative
404
2French (fr)
Dérivée covariante
94
3Chinese (zh)
协变微商
80
4Russian (ru)
Ковариантная производная
79
5Spanish (es)
Derivada covariante
74
6Italian (it)
Derivata covariante
47
7Portuguese (pt)
Derivada covariante
42
8Catalan (ca)
Derivada covariant
41
9Persian (fa)
مشتق هموردا
33
10Japanese (ja)
共変微分
26
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
caCatalan
Derivada covariant
csCzech
Kovariantní derivace
enEnglish
Covariant derivative
esSpanish
Derivada covariante
euBasque
Deribatu kobariante
faPersian
مشتق هموردا
frFrench
Dérivée covariante
itItalian
Derivata covariante
jaJapanese
共変微分
nlDutch
Covariante afgeleide
plPolish
Pochodna kowariantna
ptPortuguese
Derivada covariante
ruRussian
Ковариантная производная
srSerbian
Коваријантан извод
ukUkrainian
Коваріантна похідна
zhChinese
协变微商

Popularity rank trends

Best Rank Japanese:
#172782
05.2018
Global:
#136581
04.2015

AI rank trends

Best Rank Japanese:
#11565
12.2019
Global:
#10298
03.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Covariant derivative from Wikipedia articles about Material derivative, Christoffel symbol, Affine connection, Connection and Riemann curvature tensor. Whereas reading the article about Covariant derivative people most often go to Wikipedia articles on Christoffel symbol, Connection, Levi-Civita connection, Vector bundle connection and Directional derivative.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In Japanese Wikipedia the most popular articles on that day were: 小泉八雲, 同志社国際中学校・高等学校, 若嶋津六夫, 伊藤大海 (野球), 高橋成美, 井端弘和, 太田裕二, ワールド・ベースボール・クラシック, 高田みづえ, 尾崎将司.

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