On the existence of minimal hyperspheres in compact symmetric spaces
Wu-teh Hsiang, Wu-yi Hsiang, Per Tomter (1988)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “On minimal immersions of into ”
On the existence of minimal hyperspheres in compact symmetric spaces
Open book structures and unicity of minimal submanifolds
R. Hardt, Harold Rosenberg (1990)
Annales de l'institut Fourier
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We prove unicity of certain minimal submanifolds, for example Clifford annuli in . The idea is to consider the placement of the submanifold with respect to the (singular) foliation of by the Clifford annuli whose boundary are two fixed great circles a distance apart.
Minimal surfaces in pseudohermitian geometry
Jih-Hsin Cheng, Jenn-Fang Hwang, Andrea Malchiodi, Paul Yang (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We consider surfaces immersed in three-dimensional pseudohermitian manifolds. We define the notion of (p-)mean curvature and of the associated (p-)minimal surfaces, extending some concepts previously given for the (flat) Heisenberg group. We interpret the p-mean curvature not only as the tangential sublaplacian of a defining function, but also as the curvature of a characteristic curve, and as a quantity in terms of calibration geometry. As a differential equation, the p-minimal surface...
On Veronese-Borůvka spheres
Katsuei Kenmotsu (1997)
Archivum Mathematicum
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In this paper, history of reserches for minimal immersions from constant Gaussian curvature 2-manifolds into space forms is explained with special emphasis of works of O. Borůvka. Then recent results for the corresponding probrem to classify minimal immersions of such surfaces in complex space forms are discussed.