La geometría de Lobachevski a partir del grupo de Möbius [PDF]
, 2008 Realizamos una presentación de la geometría de Lobachevski a partir del grupo de M¨obius2, tomando como directriz el Programa de Erlangen y basándonos en el Modelo de Poincaré del semiplano superior complejo.
Luque, Carlos Julio, Rodríguez, David
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Two-body quantum mechanical problem on spheres
, 2005 The quantum mechanical two-body problem with a central interaction on the sphere ${\bf S}^{n}$ is considered. Using recent results in representation theory an ordinary differential equation for some energy levels is found.
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Fundamentals of Riemannian geometry and its evolution : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University, Palmerston North, New Zealand [PDF]
, 2000 In this thesis we study the theory of Riemannian manifolds: these are smooth manifolds equipped with Riemannian metrics, which allow one to measure geometric quantities such as distances and angles.
Senarath, Padma
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Partially Paradoxist Smarandache Geometries [PDF]
, 2000 A paradoxist Smarandache geometry combines Euclidean, hyperbolic, and elliptic geometry into one space along with other non-Euclidean behaviors of lines that would seem to require a discrete space.
Iseri, Howard
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On Special Curves According to Darboux Frame in the Three Dimensional Lorentz Space [PDF]
, 2018 In the light of great importance of curves and their frames in many different branches of science, especially differential geometry as well as geometric properties and the uses in various fields, we are interested here to study a special kind of curves ...
H. S. Abdel-Aziz, M. Khalifa Saad
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Acercamiento a la geometría esférica a través de la resolución de problemas, una experiencia con comunidades de práctica [PDF]
, 2013 En este trabajo encontraran una experiencia en el aula que trabajó sobre geometrías no euclidianas, esta busca la reivindicación de estas geometrías desde el caso específico de la geometría esférica, una experiencia realizada mediante la metodología de ...
Martínez, David, Vega, Nubia
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Impresión de diseños simétricos en la obra de Escher [PDF]
, 2011 La búsqueda del hombre de bellos diseños, la selección de formas y colores de distintas piezas que quería usar en sus muros y embaldosados y la repetición sistemática de motivos produjeron patrones simétricos como ejemplos de teselaciones.
Hilden, Hugh +3 more
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Un nou món creat del no-res : Un món on es pot quadrar el cercle! [PDF]
, 2004 Molt s'ha escrit sobre la història del cinquè postulat. En aquesta presentació s'ha volgut remarcar la importància del treball de János Bolyai, que, a partir d'un desenvolupament axiomàtic equivalent al seguit per Euclides, però canviant el cinquè ...
Reventós, Agustí
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Lobachevski Illuminated: Content, Methods, and Context of the Theory of Parallels [PDF]
, 2007 In the 1820\u27s, Nikolai Ivanovich Lobachevski discovered and began to explore the world\u27s first non-Euclidean geometry. This crucial development in the history of mathematics was not recognized as such in his own lifetime.
Braver, Seth
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Horospheres in hyperbolic geometry [PDF]
, 2008 In this paper we investigate the role of horospheres in Integral Geometry and Differential Geometry. In particular we study envelopes of families of horocycles by means of "support maps".
Gallego Gómez, Eduardo +2 more
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