Stability of minimal hypersurfaces.
Bennett Palmer (1991)
Commentarii mathematici Helvetici
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Bennett Palmer (1991)
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Yoshie Katsurada (1963/64)
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Dirk Ferus, Hermann Karcher (1985)
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Reiko Naka-Miyaoka (1980)
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Qi-Ming Wang (1994)
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Paul S. Schweitzer (1995)
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Dennis Sullivan (1979)
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Lin Jiu, Huafei Sun (2007)
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We give a classification of minimal homothetical hypersurfaces in an (n+1)-dimensional Euclidean space. In fact, when n ≥ 3, a minimal homothetical hypersurface is a hyperplane, a quadratic cone, a cylinder on a quadratic cone or a cylinder on a helicoid.
Toshiaki Adachi, Sadahiro Maeda (2006)
Colloquium Mathematicae
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We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.
Shigeyuki Morita (1975)
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Michael T. Anderson (1983)
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Sue E. Goodman (1975)
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