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Behavior of gaussian curvature and mean curvature near non-degenerate singular points on wave fronts
(2016-01-01)
We define cuspidal curvature Kc (resp. normalized cuspidal curvature μc) along cuspidal edges (resp. at a swallowtail singularity) in Riemannian 3-manifolds, and show that it gives a coefficient of the divergent term of ...
A Equação de Codazzi em superfícies
(Universidade Federal de São CarlosBRUFSCarPrograma de Pós-Graduação em Matemática - PPGM, 2011-03-04)
In this work, based on the article The Codazzi Equation for Surfaces by Juan A. Aledo, José M. Espinar and José A. Gálvez [8], we describe some applications of an abstract theory for the Codazzi equation on surfaces. ...
Characteristics of keratoconus and pellucid marginal degeneration in mean curvature maps
(Elsevier B.V., 2005-12-01)
PURPOSE: To characterize keratoconus and pellucid marginal degeneration (PMD) on mean curvature maps.DESIGN: Observational case series.METHODS: A retrospective analysis of clinical records of 19 keratoconus eyes and eight ...
Superficies L1-2-tipo en S3 y H3
(2019-01)
En esta tesis se demuestra que una superficie orientable L1-2-tipo en S3 es ó un abierto de un producto riemanniano est´andar de la forma S1 (√1 − r2) × S1(r), ó es de curvatura media no constante, curvatura gaussiana no ...
Gaussian distributions, Jacobi group, and Siegel-Jacobi space
(Brasil, 2014)
Let N be the space of Gaussian distribution functions over ℝ, regarded as a 2-dimensional statistical manifold parameterized by the mean μ and the deviation σ. In this paper, we show that the tangent bundle of N , endowed ...
Pseudo-parallel immersions in SnxR and HnxR, and constant anisotropic mean curvature surfaces in R3
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2019-12-20)
In this Ph.D. thesis, we investigate two topics in Differential Geometry. The first topic refers to the study of pseudo-parallel submanifolds in the ambient spaces SnxR and HnxR. We complete the partial classification given ...