Curvature lines of a transversal equiaffine vector field along a surface in 3-space
Marcos Craizer and Ronaldo A. Garcia
Journal of Singularities
volume 25 (2022), 134-143
Received: 25 February 2021. Received in revised form: 2 June 2021.
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Abstract:
In this paper we discuss the behavior of the curvature lines of a transversal equiaffine vector field along a surface in 3-space at isolated umbilical points.
2010 Mathematical Subject Classification:
53A15, 53A05
Key words and phrases:
Affine umbilical points, Affine curvature lines, Line Congruences, Loewner's conjecture, Carathéodory conjecture
Author(s) information:
Marcos Craizer
Departamento de Matemática
PUC-Rio,
Rio de Janeiro, RJ, Brazil
craizer@puc-rio.br
Ronaldo A. Garcia
Instituto de Matemática e Estatística- UFG
Goiânia, GO, Brazil
ragarcia@ufg.br
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