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VOL. 18 | 2017 Rotary Diffeomorphism onto Manifolds with Affine Connection
Hana Chudá, Josef Mikeš, Martin Sochor

Editor(s) Ivaïlo M. Mladenov, Guowu Meng, 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 rotary diffeomorphisms from (pseudo-)Riemannian manifolds for twice-differentiable metric tensors onto manifolds with affine connections.

Information

Published: 1 January 2017
First available in Project Euclid: 14 January 2017

zbMATH: 1378.53024
MathSciNet: MR3616917

Digital Object Identifier: 10.7546/giq-18-2017-130-137

Rights: Copyright © 2017 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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