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3 results on '"Samuel P. dos Santos"'

1. Singular surfaces of revolution with prescribed unbounded mean curvature

Author

MARTINS LUCIANA F., KENTARO SAJI, SAMUEL P. DOS SANTOS, and KEISUKE TERAMOTO

Subjects
Cuspidal edge, mean curvature, periodicity surface of revolution, cusps, Science
Abstract

Abstract: We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using this mean curvature, we give conditions for certain types of singularities of those surfaces. Periodicity of that surface is also discussed.

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2. Geometry of bifurcation sets of generic unfoldings of corank two functions

Author

Samuel P. dos Santos, Kentaro Saji, Kobe University, and Universidade Estadual Paulista (UNESP)

Subjects
Surface (mathematics), Caustics, General Mathematics, Geometry, Singular point of a curve, Ridge (differential geometry), Bifurcation set, symbols.namesake, Mathematics::Algebraic Geometry, Principal curvature, Gaussian curvature, symbols, Parametrization, Bifurcation, Mathematics, Parabolic curve
Abstract

Made available in DSpace on 2022-04-29T08:31:15Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-11-01 Japan Society for the Promotion of Science Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) We study the geometry of bifurcation sets of generic unfoldings of D4±-functions. Taking blow-ups, we show each of the bifurcation sets of D4±-functions admits a parametrization as a surface in R3. Using this parametrization, we investigate the behavior of the Gaussian curvature and the principal curvatures. Furthermore, we investigate the number of ridge curves and subparabolic curves near their singular point. Department of Mathematics Graduate School of Science Kobe University, Rokkodai 1-1, Nada Departamento de Matemática Ibilce Universidade Estadual Paulista (Unesp), R. Cristóvão Colombo, 2265, Jd Nazareth Departamento de Matemática Ibilce Universidade Estadual Paulista (Unesp), R. Cristóvão Colombo, 2265, Jd Nazareth Japan Society for the Promotion of Science: 18K03301 FAPESP: 2019/10156-4

Published
2021

3. Singular surfaces of revolution with prescribed unbounded mean curvature

Author

Kentaro Saji, Martins Luciana F., Keisuke Teramoto, Samuel P. dos Santos, Universidade Estadual Paulista (Unesp), and Nishi-ku Fukuoka 819-0395

Subjects
Surface (mathematics), Physics, Mathematics - Differential Geometry, Multidisciplinary, Mean curvature, cusps, 010102 general mathematics, Mathematical analysis, Cuspidal edge, mean curvature, 01 natural sciences, periodicity surface of revolution, Differential Geometry (math.DG), 0103 physical sciences, FOS: Mathematics, lcsh:Q, Gravitational singularity, 010307 mathematical physics, Mathematics::Differential Geometry, 0101 mathematics, Surface of revolution, 57R45, 53A05, lcsh:Science
Abstract

We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using it, we give conditions for singularities of that surfaces. Periodicity of that surface is also discussed., 9 pages 11 figures

Published
2017

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