M
Maria Aparecida Soares Ruas
Researcher at Spanish National Research Council
Publications - 116
Citations - 1020
Maria Aparecida Soares Ruas is an academic researcher from Spanish National Research Council. The author has contributed to research in topics: Lipschitz continuity & Codimension. The author has an hindex of 16, co-authored 110 publications receiving 914 citations. Previous affiliations of Maria Aparecida Soares Ruas include Universidade Estadual de Maringá & University of São Paulo.
Papers
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Journal ArticleDOI
The geometry of surfaces in 4-space from a contact viewpoint
TL;DR: In this article, the authors studied the geometry of convex surfaces embedded in ℝ4 through their generic contacts with hyperplanes and proved that the inflection points on them are the umbilic points of their families of height functions.
Book
Differential Geometry from a Singularity Theory Viewpoint
TL;DR: Differential Geometry from a Singularity Theory Viewpoint as mentioned in this paper provides a new look at the fascinating and classical subject of the differential geometry of surfaces in Euclidean spaces, using singularity theory to capture some key geometric features of surfaces.
Journal ArticleDOI
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.
Book ChapterDOI
On Real Singularities with a Milnor Fibration
TL;DR: In this paper, the authors study the singularities defined by real analytic maps with an isolated critical point at the origin, having a Milnor fibration, and prove that these are topologically equivalent (but not analytically equivalent!) to Brieskorn-Pham singularities.
Journal ArticleDOI
Regularity at infinity of real mappings and a Morse–Sard theorem
TL;DR: In this article, a Morse-Sard type theorem for the asymptotic critical values of semi-algebraic mappings and a new fibration theorem at infinity for $C^2$ mappings were proved.