GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO THE HYPERBOLIC GEOMETRY FLOW WITH TIME-DEPENDENT DISSIPATION
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(18)30780-x
Abstract: Abstract In this article, we investigate the hyperbolic geometry flow with time-dependent dissipation ∂ 2 g i j ∂ t 2 + μ ( 1 + t ) λ ∂ g i j ∂ t… read more here.
Keywords: hyperbolic geometry; time dependent; geometry; geometry flow ... See more keywords
Application of hyperbolic geometry of multiplex networks under layer link-based attacks.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0073952
Abstract: At present, network science can be considered one of the prosperous scientific fields. The multi-layered network approach is a recent development in this area and focuses on identifying the interactions of several interconnected networks. In… read more here.
Keywords: application hyperbolic; hyperbolic geometry; geometry; multiplex networks ... See more keywords
Hyperbolic Geometry For Non-Differential Topologists
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DOI: 10.1515/ms-2022-0012
Abstract: Abstract A soft presentation of hyperbolic spaces (as metric spaces), free of differential apparatus, is offered. Fifth Euclid’s postulate in such spaces is overthrown and, among other things, it is proved that spheres (equipped with… read more here.
Keywords: non differential; geometry; hyperbolic geometry; differential topologists ... See more keywords
Ptolemy's Theorem in the Relativistic Model of Analytic Hyperbolic Geometry
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DOI: 10.3390/sym15030649
Abstract: Ptolemy’s Theorem in Euclidean geometry, named after the Greek astronomer and mathematician Ptolemy, is well-known. By means of the relativistic model of hyperbolic geometry, we translate Ptolemy’s Theorem from Euclidean geometry into the hyperbolic geometry… read more here.
Keywords: relativistic model; ptolemy theorem; hyperbolic geometry; geometry ... See more keywords