A Weierstrass-Kenmotsu formula for prescribed mean curvature surfaces in hyperbolic space
Ricardo Sa Earp, Eric Toubiana (2000-2001)
Séminaire de théorie spectrale et géométrie
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Ricardo Sa Earp, Eric Toubiana (2000-2001)
Séminaire de théorie spectrale et géométrie
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Barbara Nelli, Harold Rosenberg (1997)
Annales de l'institut Fourier
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We consider graphs of positive scalar or Gauss-Kronecker curvature over a punctured disk in Euclidean and hyperbolic -dimensional space and we obtain removable singularities theorems.
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...
Marenich, V., Guadalupe, I.V. (1997)
Portugaliae Mathematica
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Toshihiko, Ikawa (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Ziqi Sun (2003)
Colloquium Mathematicae
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Let M be an n-dimensional complete immersed submanifold with parallel mean curvature vectors in an (n+p)-dimensional Riemannian manifold N of constant curvature c > 0. Denote the square of length and the length of the trace of the second fundamental tensor of M by S and H, respectively. We prove that if S ≤ 1/(n-1) H² + 2c, n ≥ 4, or S ≤ 1/2 H² + min(2,(3p-3)/(2p-3))c, n = 3, then M is umbilical. This result generalizes the...
Sa Earp, Ricardo, Toubiana, Eric (2005)
International Journal of Mathematics and Mathematical Sciences
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Bang-Yen Chen, Huei-Shyong Lue (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Nevena Pušić (1997)
Matematički Vesnik
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