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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Displaying similar documents to “Constant mean curvature surfaces in -space forms”
Minimal immersions of surfaces into 4-dimensional space forms
Minimal immersions of surfaces into -dimensional space forms
Irwen Valle Guadalupe (1995)
Rendiconti del Seminario Matematico della Università di Padova
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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...
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