Results 11 to 20 of about 474 (43)

Minimal Darboux transformations

, 2016
We derive a permutability theorem for the Christoffel, Goursat and Darboux transformations of isothermic surfaces. As a consequence we obtain a simple proof of a relation between Darboux pairs of minimal surfaces in Euclidean space, curved flats in the 2-
Hertrich-Jeromin, U., Honda, A.
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Minimal surfaces in circle bundles over Riemann surfaces

, 2009
For a compact 3-manifold $M$ which is a circle bundle over a compact Riemann surface $\Sigma$ with even Euler number $e(M)$, and with a Riemannian metric compatible with the bundle projection, there exists a compact minimal surface $S$ in $M$.
Chacon, Pablo M., Johnson, David L.
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A generalization of a completeness lemma in minimal surface theory

, 2014
We settle a question posed by Umehara and Yamada, which generalizes a completeness lemma useful in differential geometry.Comment: 10 pages, to appear in Kodai Mathematical ...
Okuyama, Yûsuke, Yamanoi, Katsutoshi
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On $\alpha$-minimizing hypercones

, 2019
In this paper we considerably extend the class of known $\alpha$-minimizing hypercones using sub-calibration methods. Indeed, the improvement of previous results follows from a careful analysis of special cubic and quartic ...
Lewintan, Peter
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Sweeping Surfaces of Polynomial Curves in Euclidean 3-space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this study, we investigate the surfaces created by the movement of the profile curves through the regular polynomial spine curves. To overcome the restrictions of establishing a frame of the polynomial curves at the points where the second and higher ...
Zhu Yuting, Li Yanlin, Eren Kemal, Ersoy Soley   +3 more
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Geometry of branched minimal surfaces of finite index

Advanced Nonlinear Studies
Given I,B∈N∪{0} $I,B\in \mathbb{N}\cup \left\{0\right\}$ , we investigate the existence and geometry of complete finitely branched minimal surfaces M in R3 ${\mathbb{R}}^{3}$ with Morse index at most I and total branching order at most B. Previous works
Meeks William H., Pérez Joaquín
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Minimal immersions of closed surfaces in hyperbolic three-manifolds

, 2010
We study minimal immersions of closed surfaces (of genus $g \ge 2$) in hyperbolic 3-manifolds, with prescribed data $(\sigma, t\alpha)$, where $\sigma$ is a conformal structure on a topological surface $S$, and $\alpha dz^2$ is a holomorphic quadratic ...
A. Ambrosetti, C.T. McMullen, H.B. Lawson Jr, J. Sacks, J.L. Kazdan, J.L. Kazdan, K. Krasnov, K. Krasnov, M. Freedman, Marcello Lucia, R. Guo, R. Schoen, S.A. Wolpert, T.H. Colding, T.H. Colding, T.H. Colding, W.H. Meeks III, Zheng Huang   +17 more
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On the Hamilton's isoperimetric ratio in complete Riemannian manifolds of finite volume

, 2020
We contribute to an original problem studied by Hamilton and others, in order to understand the behaviour of maximal solutions of the Ricci flow both in compact and non-compact complete orientable Riemannian manifolds of finite volume.
Nardulli, Stefano, Russo, Francesco G.
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A vase of catenoids

, 2016
In this note we construct a vase of catenoids - a symmetric immersed minimal surface with planar and catenoid ...
Connor, Peter
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Isoperimetric Regions in Nonpositively Curved Manifolds

, 2016
Isoperimetric regions minimize the size of their boundaries among all regions with the same volume. In Euclidean and Hyperbolic space, isoperimetric regions are round balls.
Hass, Joel
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