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VOL. 21 | 2020 Isoperimetric Extremals of Rotation on Sphere
Josef Mikeš, Patrik Peška, Lenka Rýparová

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Abstract

In this paper we will introduce a newly found knowledge above the existence and the uniqueness of isoperimetric extremals of rotation on two-dimensional (pseudo-) Riemannian manifolds and on surfaces on Euclidean space. We will obtain the fundamental equations of the existence of isoperimetric extremals of rotation on spheres. They are only and the only planar sections of the sphere.

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Published: 1 January 2020
First available in Project Euclid: 14 October 2020

Digital Object Identifier: 10.7546/giq-21-2020-181-185

Rights: Copyright © 2020 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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