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http://hdl.handle.net/11154/1864
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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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