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Helicoids and catenoids in \(M\times \mathbb{R} \) - MaRDI portal

Helicoids and catenoids in \(M\times \mathbb{R} \) (Q2048641)

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Language	Label	Description	Also known as
English	Helicoids and catenoids in \(M\times \mathbb{R} \)	scientific article

Statements

scholarly article

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Helicoids and catenoids in \(M\times \mathbb{R} \) (English)

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Ronaldo F. de Lima

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Annali di Matematica Pura ed Applicata. Serie Quarta

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publication date

23 August 2021

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full work available at URL

https://arxiv.org/abs/1901.07936

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zbMATH Keywords

product space

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vertical helicoids

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vertical catenoids

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twisting

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isoparametric hypersurfaces

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angle function

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MaRDI profile type

MaRDI publication profile

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Spacelike hypersurfaces in the Lorentz-Minkowski space with the same Riemannian and Lorentzian mean curvature

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A new approach to minimal and maximal hypersurfaces in product spaces

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Geometric properties of surfaces with the same mean curvature in \(\mathbb{R}^3\) and \(\mathbb{L}^3\)

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Minimal hypersurfaces in \(\mathbb {H}^n \times \mathbb {R}\), total curvature and index

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Generalized Heisenberg groups and Damek-Ricci harmonic spaces

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Higher dimensional minimal submanifolds generalizing the catenoid and helicoid

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Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces

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Solutions of the Allen-Cahn equation which are invariant under screw-motion

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PARABOLIC AND HYPERBOLIC SCREW MOTION SURFACES IN ℍ<sup>2</sup>×ℝ

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Minimal surfaces of Riemann type in three-dimensional product manifolds

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Geometry of horospheres

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Helicoids in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times \mathbb R\)

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Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)

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Hypersurfaces with constant sectional curvature of \(\mathbb S^n\times\mathbb R\) and \(\mathbb H^n\times\mathbb R\)

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\(p\)-harmonic morphisms, minimal foliations, and rigidity of metrics

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\(p\)-harmonic functions and the minimal graph equation in a Riemannian manifold

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Isoperimetric domains in the Riemannian product of a circle with a simply connected space form and applications to free boundary problems

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Ruled minimal surfaces in the Berger sphere

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On a class of hypersurfaces in \(\mathbb{S}^n\times\mathbb{R}\) and \(\mathbb{H}^n\times\mathbb{R}\)

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Foliations on Riemannian manifolds

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10231-021-01085-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2048641

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