On foliations of ... By minimal hypersurfaces.
Bruce Solomon (1986)
Commentarii mathematici Helvetici
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Displaying similar documents to “On calibrations for Lawson’s cones”
On foliations of ... By minimal hypersurfaces.
On minimal homothetical hypersurfaces
Lin Jiu, Huafei Sun (2007)
Colloquium Mathematicae
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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.
Foliations by hypersurfaces with constant mean curvature.
J. Barbosa, K. Kenmotsu, G. Oshikiri (1991)
Mathematische Zeitschrift
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Singular Levi-flat hypersurfaces and codimension one foliations
Marco Brunella (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We study Levi-flat real analytic hypersurfaces with singularities. We prove that the Levi foliation on the regular part of the hypersurface can be holomorphically extended, in a suitable sense, to neighbourhoods of singular points.
Foliations of lightlike hypersurfaces and their physical interpretation
Krishan Duggal (2012)
Open Mathematics
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This paper deals with a family of lightlike (null) hypersurfaces (H u) of a Lorentzian manifold M such that each null normal vector ℓ of H u is not entirely in H u, but, is defined in some open subset of M around H u. Although the family (H u) is not unique, we show, subject to some reasonable condition(s), that the involved induced objects are independent of the choice of (H u) once evaluated at u = constant. We use (n+1)-splitting Lorentzian manifold to obtain a normalization of ℓ...
Complete Integrability of a Nonlinear Elliptic System, Generating Bi-umbilical Foliated Semi-symmetric Hypersurfaces in R^4 Пълна интегруемост на една нелинейна елиптична система, пораждаща би-омбилични фолирани полусиметрични хиперповърхнини в R^4
Kutev, Nikolai, Milousheva, Velichka (2010)
Union of Bulgarian Mathematicians
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Николай Кутев, Величка Милушева - Намираме експлицитно всичките би-омбилични фолирани полусиметрични повърхнини в четиримерното евклидово пространство R^4 We find explicitly all bi-umbilical foliated semi-symmetric hypersurfaces in the four- dimensional Euclidean space. *2000 Mathematics Subject Classification: 35A07, 35J60, 53A07, 53A10. The second author is partially supported by “L. Karavelov” Civil Engineering Higher School, Sofia, Bulgaria under Contract...
On minimal immersions of into
Wu-yi Hsiang, Per Tomter (1987)
Annales scientifiques de l'École Normale Supérieure
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On double-ruled hypersurfaces in
Oldřich Kowalski, Zdeněk Vlášek (1997)
Commentationes Mathematicae Universitatis Carolinae
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We classify locally the induced Riemannian metrics of all irreducible double-ruled hypersurfaces in .
On the smoothness of Levi-foliations.
D. E. Barrett, John Erik Fornaess (1988)
Publicacions Matemàtiques
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We study the regularity of the induced foliation of a Levi-flat hypersurface in C, showing that the foliation is as many times continuously differentiable as the hypersurface itself. The key step in the proof given here is the construction of a certain family of approximate plurisubharmonic defining functions for the hypersurface in question.