R
Ronaldo Garcia
Researcher at Universidade Federal de Goiás
Publications - 145
Citations - 976
Ronaldo Garcia is an academic researcher from Universidade Federal de Goiás. The author has contributed to research in topics: Curvature & Principal curvature. The author has an hindex of 17, co-authored 122 publications receiving 809 citations.
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Inflection points and topology of surfaces in 4-space
Ronaldo Garcia,Dirce Kiyomi Hayashida Mochida,Maria del Carmen Romero Fuster,Maria Aparecida Soares Ruas +3 more
TL;DR: In this paper, it was shown that any 2-sphere, generically embedded as a locally convex surface in 4-space, has at least 4 inflection points.
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Structural stability of asymptotic lines on surfaces immersed in R3
TL;DR: In this article, the authors studied immersions of surfaces into to R3 whose nets of asymptotic lines are topologically undisturbed under small perturbations of the immersion.
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Can the Elliptic Billiard Still Surprise Us
TL;DR: It is shown that Monge's Orthoptic Circle's close relation to 4-periodic Billiard trajectories is well-known and its geometry provided clues with which to generalize 3- periodic invariants to trajectories of an arbitrary number of edges.
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Lines of principal curvature around umbilics and whitney umbrellas
TL;DR: In this article, the configuration of lines of curvature near a Whitney umbrella is studied and the pattern of such configuration is established and characterized in terms of the 3-jet of the map.
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Elliptic Billiards and Ellipses Associated to the 3-Periodic Orbits
TL;DR: The canonical equations of the centers of circumscribed and inscribed circles to the triangles that are the 3-periodic orbits of an elliptic billiard are ellipses and the geometric locus defined by the barycenters of the edges of billiard triangles is an ellipse.