Hypersurfaces with planar lines of curvature in Euclidean Space

In this work, we present explicit parameterizations of hypersurfaces parameterized by lines of curvature with prescribed Gauss map and we characterize the hypersurfaces with planar curvature lines. As an application we obtain a classification of isothermic surfaces with respect to the third fundamen...

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Bibliographic Details
Main Authors: Carlos M. C. Riveros, Armando M. V. Corro
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2017-12-01
Series:Selecciones Matemáticas
Subjects:
Online Access:http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1620/1615