Results 151 to 160 of about 1,025,793 (179)
Lobachevsky Geometry of (Super)Conformal Mechanics [PDF]
Physics Letters, Section A: General, Atomic and Solid State Physics, 2009 5 ...
Armen Nersessian, Tigran Hakobyan
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On the Nonexistence of a Lobachevsky Geometry Model of an Isotropic and Homogeneous Universe
Mathematics and Computers in Simulation, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michal Křížek
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An Unexpected Source of Russian Neo-Kantianism: Alexander Vvedensky and Lobachevsky's Geometry
Studies in East European Thought, 1995It has long been a commonplace that Kant's philosophy was rela tively unimportant in Russia, the land of Schelling and Hegel par excellence. Kant's ideas, it seems, did not keep the youth of Moscow and St. Petersburg in the 1840s up until all hours, delaying dinner for the sake of discussing the possibility of synthetic a priori judg ments.
Catherine Evtuhov
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Springer Optimization and Its Applications, 2012 In this chapter, dedicated to the 60th Anniversary of Themistocles M. Rassias, Möbius transformation and Einstein velocity addition meet in the hyperbolic geometry of Bolyai and Lobachevsky. It turns out that Möbius addition that is extracted from Möbius transformation of the complex disc and Einstein addition from his special theory of relativity are ...
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Geometries on the torus, complex numbers and Lobachevsky geometry
1994The description of locally Euclidean geometries, which made up Chapter II, contained one gap, and we now fill this. It was proved that every such geometry can be constructed as a geometry ΣΓ for a certain uniformly discontinuous group Γ of motions of the plane. It would seem that the classification of all such groups given in Chapter II, §8 then solves
Viacheslav V. Nikulin +1 more
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Russian Journal of Mathematical Physics, 2007
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The Problem of Realizing the Lobachevsky Geometry in Euclidean Space
2014In this chapter we deal with general problems connected with the realization of the two-dimensional Lobachevsky geometry in the three-dimensional Euclidean space. In particular, we give an exposition of Lobachevsky planimetry as the geometry of a two-dimensional Riemannian manifold of constant negative curvature.We describe the apparatus of fundamental
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Lobachevsky Geometry and Nonlinear Equations of Mathematical Physics
2014In this chapter we present a geometric approach to the interpretation of nonlinear partial differential equations which connects them with special coordinate nets on the Lobachevsky plane \(\Lambda^2\).We introduce the class of Lobachevsky differential equations (\(\Lambda^2\)-class), which admit the aforementioned interpretation.
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Lobachevsky geometry and unsolved problems of solar cosmogony
International Journal of Theoretical Physics, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Geometric Algebra and Lobachevski Geometry
1998Geometric Algebra is used to study Lobachevski geometry and some research results are reported. Not only old results are obtained more easily, but some interesting new results are obtained. It seems that Geometric Algebra is a natural way to study Lobachevski geometry.
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