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.
Information
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
