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Please use this identifier to cite or link to this item: http://hdl.handle.net/11154/1864

Title: Umbilicity of surfaces with orthogonal asymptotic lines in R-4
Authors: Romero-Fuster, MD
Sánchez-Bringas, F
Issue Date: 2002
Abstract: 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. (C) 2002 Elsevier Science B.V. All rights reserved.
URI: http://hdl.handle.net/11154/1864
ISSN: 0926-2245
Appears in Collections:Matemáticas

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