First variation of area formula
id:
first-variation-of-area-formula-264-6133468
title:
First variation of area formula
text:
In the mathematical field of Riemannian geometry, every submanifold of a Riemannian manifold has a surface area. The first variation of area formula is a fundamental computation for how this quantity is affected by the deformation of the submanifold. The fundamental quantity is to do with the mean curvature. Let denote a Riemannian manifold, and consider an oriented smooth manifold S together with a one-parameter family of smooth immersions ft of S into M. For each individual value of the parame
brand slug:
wiki
category slug:
encyclopedia
description:
Element in Riemannian geometry
original url:
https://en.wikipedia.org/wiki/First_variation_of_area_formula
date created:
date modified:
2022-11-19T22:50:30Z
main entity:
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image:
fields total:
13
integrity:
14