Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature

preprint2014arXivOpen access

Abstract

We relate the total curvature and the isoperimetric deficit of a curve γγ in a two-dimensional space of constant curvature with the area enclosed by the evolute of γγ. We provide also a Gauss-Bonnet theorem for a special class of evolutes.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Reviews 0

Write a reviewWrite

No reviews yet.

Discussion 0

Add a commentWrite

No comments yet.