Minimal immersions of surfaces into 4-dimensional space forms
Renato de Azevedo Tribuzy, Irwen Valle Guadalupe (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On Veronese-Borůvka spheres”
Minimal immersions of surfaces into 4-dimensional space forms
Minimal immersions of surfaces into -dimensional space forms
Irwen Valle Guadalupe (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Linearization and explicit solutions of the minimal surface equations.
Alexander G. Reznikov (1992)
Publicacions Matemàtiques
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We show that the apparatus of support functions, usually used in convex surfaces theory, leads to the linear equation Δh + 2h = 0 describing locally germs of minimal surfaces. Here Δ is the Laplace-Beltrami operator on the standard two-dimensional sphere. It explains the existence of the sum operator of minimal surfaces, introduced recently. In 4-dimensional space the equation Δ h + 2h = 0 becomes inequality wherever the Gauss curvature of a minimal hypersurface is nonzero.
Existence results for embedded minimal surfaces of controlled topological type, III
Jürgen Jost (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The Existence of Embedded Minimal Surfaces and the Problem of Uniqueness.
Shing-Tung Yau, William W. Meeks (1982)
Mathematische Zeitschrift
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Curvature estimates for minimal surfaces in -manifolds
Michael T. Anderson (1985)
Annales scientifiques de l'École Normale Supérieure
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