Mean directionally curved lines on surfaces immersed in R4.

Título inglés Mean directionally curved lines on surfaces immersed in R4.
Título español Líneas direccionalmente curvas medias en superficies inmersas en R4.
Autor/es Mello, Luis Fernando
Organización Inst. Cienc. Univ. Fed. Itajubá, Itajubá, Brasil
Revista 0214-1493
Publicación 2003, 47 (2): 415-440, 18 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés The notion of principal configuration of immersions of surfaces into R3, due to Sotomayor and Gutierrez [16] for lines of curvature and umbilics, is extended to that of mean directional configuration for immersed surfaces in R4. This configuration consists on the families of mean directionally curved lines, along which the second fundamental form points in the direction of the mean curvature vector, and their singularities, called here H-singularities.
Clasificación UNESCO 120404
Palabras clave español Geometría diferencial ; Superficies ; Teoría de curvatura
Código Z-Math Zbl 1069.53006
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