On Codimension-one Foliations of Constant Mean Curvature.
Gen-ichi Oshikiri (1990)
Mathematische Zeitschrift
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Displaying similar documents to “Foliations by hypersurfaces with constant mean curvature.”
On Codimension-one Foliations of Constant Mean Curvature.
Mean curvature functions of codimension-one foliations. II.
Gen-Ichi Oshikiri (1991)
Commentarii mathematici Helvetici
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Foliations making a constant angle with principal directions on ellipsoids
Ronaldo Garcia, Rémi Langevin, Paweł Walczak (2015)
Annales Polonici Mathematici
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We study the global behavior of foliations of ellipsoids by curves making a constant angle with the lines of curvature.
Mean curvature functions of codimension-one foliations.
Gen-Ichi Oshikiri (1990)
Commentarii mathematici Helvetici
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Hypersurfaces of Prescribed Mean Curvature over Obstacles.
Claus Gerhardt (1973)
Mathematische Zeitschrift
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Bochner's theorem and minimal foliation. (Théorème de Bochner et feuilletage minimal.)
Chaouch, Mohamed A. (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Hypersurfaces with constant inner curvature of the second fundamental form, and the non-rigidity of the sphere.
Wolfgang Kühnel, Markus Becker (1996)
Mathematische Zeitschrift
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On Spacelike Hypersurfaces with Constant Mean Curvature in the de Sitter Space.
Kazuo Akutagawa (1987)
Mathematische Zeitschrift
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Minimal hypersurfaces in S4 with vanishing Gauss-Kronecker curvature.
Jayakumar Ramanathan (1990)
Mathematische Zeitschrift
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Minimal Hypersurfaces of S4 with Constant Gauss-Kronecker Curvature.
S.C. de Almeida, F.G. Braga Brito (1987)
Mathematische Zeitschrift
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Compact Hypersurfaces with a Constant Higher Mean Curvature Function.
Rolf Walter (1985)
Mathematische Annalen
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Immersed Hypersurfaces with Constant Weingarten Curvature.
Klaus Ecker, Gerhard Huisken (1989)
Mathematische Annalen
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Nontaut foliations and isoperimetric constants
Konrad Blachowski (2002)
Annales Polonici Mathematici
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We study nontaut codimension one foliations on closed Riemannian manifolds. We find an estimate of some constant derived from the mean curvature function of the leaves of a foliation by some isoperimetric constant of the manifold. Moreover, for foliated 2-tori and the 3-dimensional unit sphere, we find the infimum of the former constants for all nontaut codimension one foliations.
Deforming Hypersurfaces of the Sphere by Their Mean Curvature.
Gerhard Huisken (1987)
Mathematische Zeitschrift
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Weitzenböck Formula for SL(q)-foliations
Adam Bartoszek, Jerzy Kalina, Antoni Pierzchalski (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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A Weitzenböck formula for SL(q)-foliations is derived. Its linear part is a relative trace of the relative curvature operator acting on vector valued forms.