Results 1 to 10 of about 1,042 (28)
Sym-Bobenko formula for minimal surfaces in Heisenberg space [PDF]
, 2013 We give an immersion formula, the Sym-Bobenko formula, for minimal surfaces in the 3-dimensional Heisenberg space. Such a formula can be used to give a generalized Weierstrass type representation and construct explicit examples of minimal surfaces ...
Cartier, Sébastien
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On the maximal mean curvature of a smooth surface [PDF]
, 2016 Given a smooth simply connected planar domain, the area is bounded away from zero in terms of the maximal curvature alone. We show that in higher dimensions this is not true, and for a given maximal mean curvature we provide smooth embeddings of the ball
Ferone, Vincenzo +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 18, Page 913-948, 2004., 2004 We obtain global estimates for the modulus, interior gradient estimates, and boundary Hölder continuity estimates for solutions u to the capillarity problem and to the Dirichlet problem for the mean curvature equation merely in terms of the mean curvature, together with the boundary contact angle in the capillarity problem and the boundary values in ...
Fei-Tsen Liang
wiley +1 more source
Remarks on the boundary curve of a constant mean curvature topological disc [PDF]
, 2016 We discuss some consequences of the existence of the holomorphic quadratic Hopf differential on a conformally immersed constant mean curvature topological disc with analytic boundary.
Brander, David, Lopez, Rafael
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On the moduli space of superminimal surfaces in spheres
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 44, Page 2803-2827, 2003., 2003 Using a birational correspondence between the twistor space of S2n and projective space, we describe, up to birational equivalence, the moduli space of superminimal surfaces in S2n of degree d as curves of degree d in projective space satisfying a certain differential system.
Luis Fernández
wiley +1 more source
On critical normal sections for two-dimensional immersions in R^n and a Riemann-Hilbert problem [PDF]
, 2007 For orthonormal normal sections of two-dimensional immersions in R^4 we define torsion coefficients and a functional for the total torsion. We discuss normal sections which are critical for this functional.
Froehlich, Steffen, Mueller, Frank
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The double bubble problem in spherical and hyperbolic space
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 11, Page 641-699, 2002., 2002 We prove that the standard double bubble is the least‐area way to enclose and separate two regions of equal volume in ℍ3, and in S3 when the exterior is at least ten percent of S3.
Andrew Cotton, David Freeman
wiley +1 more source
A boundary value problem in the hyperbolic space
Abstract and Applied Analysis, Volume 4, Issue 4, Page 249-253, 1999., 1999 We consider a nonlinear problem for the mean curvature equation in the hyperbolic space with a Dirichlet boundary data g. We find solutions in a Sobolev space under appropriate conditions on g.
P. Amster, G. Keilhauer, M. C. Mariani
wiley +1 more source
Bifurcation of the equivariant minimal interfaces in a hydromechanics problem
Abstract and Applied Analysis, Volume 1, Issue 3, Page 291-304, 1996., 1996 In this work we study a deformation of the minimal interface of two fluids in a vertical tube under the presence of gravitation. We show that a symmetry of the base of tube let us to apply a method developed earlier by the first author and based on the Crandall‐Rabinowitz bifurcation theorem.
A. Y. Borisovich, W. Marzantowicz
wiley +1 more source
Complete minimal surfaces in R3 with a prescribed coordinate function [PDF]
, 2011 In this paper we construct complete simply connected minimal surfaces with a prescribed coordinate function. Moreover, we prove that these surfaces are dense in the space of all minimal surfaces with this coordinate function (with the topol- ogy of ...
Alarcón, Antonio +1 more
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