Minimal immersions of surfaces into 4-dimensional space forms
Renato de Azevedo Tribuzy, Irwen Valle Guadalupe (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Renato de Azevedo Tribuzy, Irwen Valle Guadalupe (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Irwen Valle Guadalupe (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Marenich, V., Guadalupe, I.V. (1997)
Portugaliae Mathematica
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Al-Gwaiz, M.A., Deshmukh, Sharief (1992)
International Journal of Mathematics and Mathematical Sciences
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Ronaldo García, Jorge Sotomayor (2001)
Publicacions Matemàtiques
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In this paper we study the pairs of orthogonal foliations on oriented surfaces immersed in R whose singularities and leaves are, respectively, the umbilic points and the lines of normal mean curvature of the immersion. Along these lines the immersions bend in R according to their normal mean curvature. By analogy with the closely related Principal Curvature Configurations studied in [S-G], [GS2], whose lines produce the extremal for the immersion, the pair of foliations by lines of...
Kamberov, G. (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Bang-Yen Chen, Huei-Shyong Lue (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Fujioka, A., Inoguchi, J. (1999)
Lobachevskii Journal of Mathematics
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