Nonnegativity for the Curvature Operator and Isotropy for Isometric Immersions.
Rolf Walter, Norbert Kleinjohann (1982)
Mathematische Zeitschrift
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Rolf Walter, Norbert Kleinjohann (1982)
Mathematische Zeitschrift
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Francesco Mercuri, Yuriko Y. Baldin (1980)
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Lucio Rodriguez, Renato Tribuzy (1984)
Mathematische Zeitschrift
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Friedrich Sauvigny (1990)
Mathematische Zeitschrift
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J. Hong, C. Zuily (1995)
Mathematische Zeitschrift
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Frederick Wilhlem (1995)
Mathematische Zeitschrift
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P. Petersen V, Z. Shen, S. Zhu (1993)
Mathematische Zeitschrift
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H.B., Jr Lawson, M.-L. Michelsohn (1984)
Inventiones mathematicae
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U. Pinkall, D. Ferus, M. Timmreck (1994)
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Wegner, Bernd (1997)
General Mathematics
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Ronaldo García, Jorge Sotomayor (2001)
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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...
Wolfgang Kühnel (1979)
Colloquium Mathematicae
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Stehen Markvorsen (1983)
Mathematische Zeitschrift
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