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pro vyhledávání: '"non-euclidean geometries"'
We introduce decorated piecewise hyperbolic and spherical surfaces and discuss their discrete conformal equivalence. A decoration is a choice of circle about each vertex of the surface. Our decorated surfaces are closely related to inversive distance
Externí odkaz:
http://arxiv.org/abs/2310.17529
Publikováno v:
Symmetry 2022, 14(10), 1979
This paper builds two detailed examples of generalized normal in non-Euclidean spaces, i.e. the hyperbolic and elliptic geometries. In the hyperbolic plane we define a n-sided hyperbolic polygon P, which is the Euclidean closure of the hyperbolic pla
Externí odkaz:
http://arxiv.org/abs/2208.02658
Autor:
Chen, Ying, Yin, Yuhang, Zheng, Ze-Huan, Liu, Yang, Lin, Zhi-Kang, Li, Jing, Jiang, Jian-Hua, Chen, Huanyang
Disclinations are ubiquitous lattice defects existing in almost all crystalline materials. In two-dimensional nanomaterials, disclinations lead to the warping and deformation of the hosting material, yielding non-Euclidean geometries. However, such g
Externí odkaz:
http://arxiv.org/abs/2201.10039
Autor:
Bispo da Silva, Ana Paula1 anabispouepb@gmail.com, Siqueira Amaral Gomes, Maria Gabriela Ferreira1
Publikováno v:
Caderno Brasileiro de Ensino de Física. 2023, Vol. 45, p1-9. 9p.
Autor:
Ermiş, Temel, Gelişgen, Özcan
In geometry, Monge's theorem states that for any three nonoverlapping circles of distinct radii in the two dimensional analytical plane equipped with the Euclidean metric, none of which is completely inside one of the others, the intersection points
Externí odkaz:
http://arxiv.org/abs/2104.04274
Autor:
Florentin Smarandache
Publikováno v:
Neutrosophic Sets and Systems, Vol 46, Pp 456-477 (2021)
In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry.
Externí odkaz:
https://doaj.org/article/7fc48b38237448efa01caeb0d63829e3
Akademický článek
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Publikováno v:
New J. Phys. 22, 093036 (2020)
This paper investigates nematic liquid crystals in three-dimensional curved space, and determines which director deformation modes are compatible with each possible type of non-Euclidean geometry. Previous work by Sethna et al. showed that double twi
Externí odkaz:
http://arxiv.org/abs/2006.12668
Autor:
Daniška, Michal, Gendiar, Andrej
Publikováno v:
Acta Physica Slovaca 68, 187-286 (2018)
The investigation of the behavior of both classical and quantum systems on non-Euclidean surfaces near the phase transition point represents an interesting research area of modern physics. In the case of classical spin systems, a generalization of th
Externí odkaz:
http://arxiv.org/abs/2003.11767