Umbilicity of surfaces with orthogonal asymptotic lines in R4


Por: Romero-Fuster M.D.C., Sánchez-Bringas F.
Publicada: 1 ene 2002
Resumen:
We study some properties of surfaces in 4-space all whose points are umbilic with respect to some normal field. In particular, we show that this condition is equivalent to the orthogonality of the (globally defined) fields of asymptotic directions. We also analyze necessary and sufficient conditions for the hypersphericity of surfaces in 4-space. © 2002 Elsevier Science B.V. All rights reserved.
ISSN: 09262245
Editorial
ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, Países Bajos
Tipo de documento: Article
Volumen: 16 Número: 3
Páginas: 213-224
WOS Id: 000175815700002