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 “Minimal immersions of surfaces into -dimensional space forms”
Minimal immersions of surfaces into 4-dimensional space forms
Constant mean curvature surfaces in -space forms
Jost-Hinrich Eschenburg, Renato de Azevedo Tribuzy (1988)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Some inequalities for immersed surfaces.
Marenich, V., Guadalupe, I.V. (1997)
Portugaliae Mathematica
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Curvature Estimates for Immersions of Minimal Surface Type via Uniformization and Theorems of Bernstein Type.
Friedrich Sauvigny (1990)
Manuscripta mathematica
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Closed surfaces in four-spaces with non-vanishing normal curvature
Rainer Walden (1982)
Colloquium Mathematicae
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Some recent developments in the theory of properly embedded minimal surfaces in
Harold Rosenberg (1991-1992)
Séminaire Bourbaki
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Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms
Bang-Yen Chen (2009)
Open Mathematics
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Submanifolds with parallel mean curvature vector play important roles in differential geometry, theory of harmonic maps as well as in physics. Spatial surfaces in 4D Lorentzian space forms with parallel mean curvature vector were classified by B. Y. Chen and J. Van der Veken in [9]. Recently, spatial surfaces with parallel mean curvature vector in arbitrary pseudo-Euclidean spaces are also classified in [7]. In this article, we classify spatial surfaces with parallel mean curvature vector...
Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in R.
Ronaldo García, Jorge Sotomayor (2001)
Publicacions Matemàtiques
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In this paper we study the pairs of orthogonal foliations on oriented surfaces immersed in R whose singularities and leaves are, respectively, the umbilic points and the lines of normal mean curvature of the immersion. Along these lines the immersions bend in R according to their normal mean curvature. By analogy with the closely related Principal Curvature Configurations studied in [S-G], [GS2], whose lines produce the extremal for the immersion, the pair of foliations by lines of...