Gauss–Bonnet theorem
id:
gauss-bonnet-theorem-290-4439924
title:
Gauss–Bonnet theorem
text:
In the mathematical field of differential geometry, the Gauss–Bonnet theorem is a fundamental formula which links the curvature of a surface to its underlying topology. In the simplest application, the case of a triangle on a plane, the sum of its angles is 180 degrees. The Gauss–Bonnet theorem extends this to more complicated shapes and curved surfaces, connecting the local and global geometries. The theorem is named after Carl Friedrich Gauss, who developed a version but never published it, an
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem in differential geometry
original url:
https://en.wikipedia.org/wiki/Gauss%E2%80%93Bonnet_theorem
date created:
date modified:
2024-04-01T10:54:24Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/0/06/Gauss-Bonnet_theorem.svg","width":470,"height":300}
fields total:
13
integrity:
15