Proceedings of the International Conference on Geometry, Integrability and Quantization

Rotary Diffeomorphism onto Manifolds with Affine Connection

Hana Chudá, Josef Mikeš, and Martin Sochor

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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.

Article information

Source
Proceedings of the Eighteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Guowu Meng and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2017), 130-137

Dates
First available in Project Euclid: 14 January 2017

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1484362820

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

Mathematical Reviews number (MathSciNet)
MR3616917

Zentralblatt MATH identifier
1378.53024

Citation

Chudá, Hana; Mikeš, Josef; Sochor, Martin. Rotary Diffeomorphism onto Manifolds with Affine Connection. Proceedings of the Eighteenth International Conference on Geometry, Integrability and Quantization, 130--137, Avangard Prima, Sofia, Bulgaria, 2017. doi:10.7546/giq-18-2017-130-137. https://projecteuclid.org/euclid.pgiq/1484362820


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