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Equiareal - Wikipedia, the free encyclopedia

Equiareal

From Wikipedia, the free encyclopedia

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Let $M, N$ be surfaces in the Euclidean space $\mathbb{R}^3$ . A smooth map $f:M\rightarrow N$ is called equiareal if

$|df_p(v)\times df_p(w)|=|v\times w|\,$

for all $p\in M$ and $v,w\in T_pM$ , where the latter denotes the tangent space to $M .$

For some examples of such maps see map projection.

This geometry-related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "http://en.wikipedia.org../../../e/q/u/Equiareal.html"

Categories: Geometry stubs | Differential geometry

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