Results 11 to 20 of about 88 (85)
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
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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
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Constant mean curvature surfaces [PDF]
, 2016 In this article we survey recent developments in the theory of constant mean cur- vature surfaces in homogeneous 3-manifolds, as well as some related aspects on ex- istence and descriptive results for H -laminations and CMC foliations of Riemannian n ...
Tinaglia, Giuseppe; id_orcid +2 more
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Translation Surfaces Generated by the Adjoint Curve in 3-dimensional Euclidean Space
, 2023 In this talk, we examined the translation surfaces formed by a curve with constant curvature and its adjointcurve. We calculated first fundamental form, second fundamental form, Gaussian curvature and mean cur-vature of the translation surface.
Saltık, Burçin, Yüksel, Nural
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CMC Spheres in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2019 We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group H1. These spheres are conjectured to be the isoperimetric sets of H1. We prove several results supporting this conjecture.
Franceschi Valentina +2 more
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On the new approach for the energy of elastica
Acta Scientiarum: Technology, 2018 In this work, we firstly describe conditions for being elastica in Minkowski space E41. Then we investigate the energy of the elastic curves and exploit its relationship with the energy of Bishop vectors belong to that elastic curves E41.
Talat Körpınar, Rıdvan Cem Demirkol
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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
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Geometry of CMC surfaces of finite index
Advanced Nonlinear Studies, 2023 Given r0>0{r}_{0}\gt 0, I∈N∪{0}I\in {\mathbb{N}}\cup \left\{0\right\}, and K0,H0≥0{K}_{0},{H}_{0}\ge 0, let XX be a complete Riemannian 3-manifold with injectivity radius Inj(X)≥r0\hspace{0.1em}\text{Inj}\hspace{0.1em}\left(X)\ge {r}_{0} and with the ...
Meeks William H., Pérez Joaquín
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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
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Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In Lorentz-Minkowski 3-space, null scrolls are ruled surfaces with a null base curve and null rulings. Their mean, as well as their Gaussian curvature, depends only on a parameter of a base curve. In the present paper, we obtain the first-order nonlinear
Šipuš Željka Milin +2 more
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