Gauss–Bonnet theorem

Gauss–Bonnet theorem - Theorem in differential geometry. Article "Gauss–Bonnet theorem" in English Wikipedia has 34.7 points for quality (as of July 1, 2025). The article contains 7 references and 14 sections. The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "Gauss–Bonnet theorem", its content was written by 70 registered users of English Wikipedia and edited by 314 registered Wikipedia users in all languages.

The article is cited 138 times in English Wikipedia and cited 442 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #35069 in December 2003
• Global: #23107 in November 2011

The highest popularity rank from 2008:

• Local (English): #203149 in May 2025
• Global: #242765 in May 2025

There are 19 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.

#	Language	Quality grade	Quality score
1	English (en) Gauss–Bonnet theorem		34.7274
2	Greek (el) Θεώρημα Γκάους-Μπονέ		34.1752
3	Ukrainian (uk) Формула Гаусса — Бонне		25.521
4	Japanese (ja) ガウス・ボンネの定理		23.8869
5	German (de) Satz von Gauß-Bonnet		23.4307
6	Russian (ru) Формула Гаусса — Бонне		18.6622
7	Indonesian (id) Teorema Gauss–Bonnet		15.51
8	Catalan (ca) Teorema de Gauss-Bonnet		13.0934
9	Arabic (ar) مبرهنة غاوس-بونيه		12.64
10	Hebrew (he) משפט גאוס-בונה		10.5417

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Gauss–Bonnet theorem" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Gauss–Bonnet theorem		695 104
2	German (de) Satz von Gauß-Bonnet		76 336
3	Spanish (es) Teorema de Gauss-Bonnet		68 638
4	Japanese (ja) ガウス・ボンネの定理		65 503
5	Russian (ru) Формула Гаусса — Бонне		59 178
6	French (fr) Formule de Gauss-Bonnet		56 158
7	Chinese (zh) 高斯-博内定理		46 105
8	Italian (it) Teorema di Gauss-Bonnet		39 288
9	Korean (ko) 가우스-보네 정리		33 477
10	Ukrainian (uk) Формула Гаусса — Бонне		13 317

More...

The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Gauss–Bonnet theorem" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Gauss–Bonnet theorem		4 799
2	Japanese (ja) ガウス・ボンネの定理		550
3	Chinese (zh) 高斯-博内定理		308
4	French (fr) Formule de Gauss-Bonnet		281
5	Korean (ko) 가우스-보네 정리		273
6	Russian (ru) Формула Гаусса — Бонне		267
7	German (de) Satz von Gauß-Bonnet		239
8	Spanish (es) Teorema de Gauss-Bonnet		202
9	Italian (it) Teorema di Gauss-Bonnet		144
10	Ukrainian (uk) Формула Гаусса — Бонне		60

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

Language versions of the article "Gauss–Bonnet theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Gauss–Bonnet theorem		70
2	German (de) Satz von Gauß-Bonnet		45
3	Russian (ru) Формула Гаусса — Бонне		37
4	French (fr) Formule de Gauss-Bonnet		25
5	Italian (it) Teorema di Gauss-Bonnet		21
6	Ukrainian (uk) Формула Гаусса — Бонне		17
7	Japanese (ja) ガウス・ボンネの定理		15
8	Spanish (es) Teorema de Gauss-Bonnet		13
9	Chinese (zh) 高斯-博内定理		11
10	Hebrew (he) משפט גאוס-בונה		10

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

Language versions of the article "Gauss–Bonnet theorem" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Italian (it) Teorema di Gauss-Bonnet		1
2	Arabic (ar) مبرهنة غاوس-بونيه		0
3	Catalan (ca) Teorema de Gauss-Bonnet		0
4	German (de) Satz von Gauß-Bonnet		0
5	Greek (el) Θεώρημα Γκάους-Μπονέ		0
6	English (en) Gauss–Bonnet theorem		0
7	Spanish (es) Teorema de Gauss-Bonnet		0
8	French (fr) Formule de Gauss-Bonnet		0
9	Hebrew (he) משפט גאוס-בונה		0
10	Indonesian (id) Teorema Gauss–Bonnet		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Gauss–Bonnet theorem" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Gauss–Bonnet theorem		138
2	French (fr) Formule de Gauss-Bonnet		48
3	Russian (ru) Формула Гаусса — Бонне		35
4	German (de) Satz von Gauß-Bonnet		31
5	Japanese (ja) ガウス・ボンネの定理		28
6	Hebrew (he) משפט גאוס-בונה		25
7	Spanish (es) Teorema de Gauss-Bonnet		23
8	Ukrainian (uk) Формула Гаусса — Бонне		21
9	Chinese (zh) 高斯-博内定理		21
10	Korean (ko) 가우스-보네 정리		18

More...

#	Language	Value
ar	Arabic مبرهنة غاوس-بونيه
ca	Catalan Teorema de Gauss-Bonnet
de	German Satz von Gauß-Bonnet
el	Greek Θεώρημα Γκάους-Μπονέ
en	English Gauss–Bonnet theorem
es	Spanish Teorema de Gauss-Bonnet
fr	French Formule de Gauss-Bonnet
he	Hebrew משפט גאוס-בונה
id	Indonesian Teorema Gauss–Bonnet
it	Italian Teorema di Gauss-Bonnet
ja	Japanese ガウス・ボンネの定理
ko	Korean 가우스-보네 정리
nl	Dutch Stelling van Gauss-Bonnet
ro	Romanian Teorema Gauss–Bonnet
ru	Russian Формула Гаусса — Бонне
simple	Simple English Gauss-Bonnet theorem
sv	Swedish Gauss-Bonnets sats
uk	Ukrainian Формула Гаусса — Бонне
zh	Chinese 高斯-博内定理

Best Rank

English: #203149 05.2025

Global: #242765 05.2025

Best Rank

English: #35069 12.2003

Global: #23107 11.2011

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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