Stratification of minimal surfaces, mean curvature flows, and harmonic maps.
Brian White (1997)
Journal für die reine und angewandte Mathematik
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Brian White (1997)
Journal für die reine und angewandte Mathematik
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Atsushi Tachikawa (1983)
Manuscripta mathematica
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J. H. Sampson (1978)
Annales scientifiques de l'École Normale Supérieure
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Joseph Shomberg (2005)
Mathematica Bohemica
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It is easily seen that the graphs of harmonic conjugate functions (the real and imaginary parts of a holomorphic function) have the same nonpositive Gaussian curvature. The converse to this statement is not as simple. Given two graphs with the same nonpositive Gaussian curvature, when can we conclude that the functions generating their graphs are harmonic? In this paper, we show that given a graph with radially symmetric nonpositive Gaussian curvature in a certain form, there are (up...
Rainer Walden (1982)
Colloquium Mathematicae
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Harold Donnelly (1986)
Mathematische Zeitschrift
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C.J. Costa (1991)
Inventiones mathematicae
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Renato de Azevedo Tribuzy, Irwen Valle Guadalupe (1985)
Rendiconti del Seminario Matematico della Università di Padova
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R. Osserman, R. Schoen, D.A. Hoffman (1982)
Commentarii mathematici Helvetici
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