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Showing papers by "Maria Aparecida Soares Ruas published in 2001"

Singularities and Duality in the Flat Geometry of Submanifolds of Euclidean Spaces

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D. K. H. MochidaM1, C. Romero-Fuster2, Maria Aparecida Soares Ruas3•
Federal University of São Carlos1, University of Valencia2, University of São Paulo3
01 Jan 2001
TL;DR: In this paper, the authors study some properties of submanifolds in Euclidean space concern with their generic contacts with straight lines and hyperplanes and expose some duality relation associated to these contacts.
Abstract: We study some properties of submanifolds in Euclidean space concern- ing their generic contacts with straight lines and hyperplanes and expose some duality relation associated to these contacts.

9 citations

Journal Article•DOI•
Maps of manifolds into the plane which lift to standard embeddings in codimension two

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V.L. Carrara1, Maria Aparecida Soares Ruas2, Osamu Saeki3•
University of São Paulo1, Spanish National Research Council2, Hiroshima University3
30 Mar 2001-Topology and its Applications
TL;DR: In this article, the authors give sufficient conditions for a generic smooth map f to have the standard lifting property when M is a closed surface or an n-dimensional homotopy sphere.

4 citations