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Total absolute horospherical curvature of submanifolds in hyperbolic space
(WALTER DE GRUYTER & CO, 2010)
We study the horospherical geometry of submanifolds in hyperbolic space. The main result is a formula for the total absolute horospherical curvature of M, which implies, for the horospherical geometry, the analogues of ...
COORDINATE-FREE CLASSIC GEOMETRIES
(Independent Univ MoscowMoscowFederação da Rússia, 2011)
Differential geometry of grassmannians and the Plucker map
(VERSITAWARSAW, 2012)
Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometries. For 'hyperbolic' grassmannian geometries, we prove some facts (for instance, that the Plucker map is a minimal isometric ...
Differential geometry of grassmannians and the Plucker map
(VersitaWarsaw, 2012)
Geometrias não euclidianas: elíptica e hiperbólica no ensino médio
(Universidade Tecnológica Federal do ParanáPato BrancoMestrado Profissional em Matemática em Rede Nacional, 2014-03-24)
This work aims to contribute in including teaching of Non-Euclidean Geometry in high
school. For this, a bibliographic research was made about the appearance of such
geometries and introduce content for teaching of ...
Geometria Não-Euclidiana: uma Introdução à Geometria HiperbólicaNon-Euclidean Geometry: an Introduction to Hyperbolic Geometry
(Universidade Federal do Rio Grande do NorteBrasilUFRNLicenciatura em MatemáticaDepartamento de Ciências Exatas e Aplicadas, 2023)
Hyperbolic Geometrically Uniform Codes and Ungerboeck Partitioning on the Double Torus
(2022-03-01)
Current research builds labelings for geometrically uniform codes on the double torus through tiling groups. At least one labeling group was provided for all of the 11 regular tessellations on the double torus, derived ...
A geometria do disco de Poincaré
(Universidade Tecnológica Federal do ParanáCuritibaBrasilLicenciatura em MatemáticaUTFPR, 2021-06-21)
In this work, we discuss the history of non-Euclidean geometries, emphasizing a model of hyperbolic geometry in the plane: the Poincaré disk. We relate some results in this geometry to results from Euclidean geometry, such ...