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Elliptic Weingarten hypersurfaces of Riemannian products (Q6049398)

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scientific article; zbMATH DE number 7750737

Language	Label	Description	Also known as
English	Elliptic Weingarten hypersurfaces of Riemannian products	scientific article; zbMATH DE number 7750737

Statements

scholarly article

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Elliptic Weingarten hypersurfaces of Riemannian products (English)

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Ronaldo F. de Lima

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Álvaro K. Ramos

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João Paulo Dos Santos

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Mathematische Nachrichten

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publication date

17 October 2023

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full work available at URL

https://arxiv.org/abs/2110.06299

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zbMATH Keywords

space forms

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rank-one symmetric spaces

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Weingarten hypersurfaces

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Jellett-Liebmann theorem

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MaRDI profile type

MaRDI publication profile

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A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)

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Complete surfaces of constant curvature in \(H^{2} \times \mathbb R\) and \(S^{2} \times \mathbb R\)

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Surfaces with constant curvature in \(S^{2}\times \mathbb R\) and \(H^{2}\times \mathbb R\). Height estimates and representation

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Uniqueness theorems for surfaces in the large. I, II, III, IV, V

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On Special W-Surfaces

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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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Embeddedness, convexity, and rigidity of hypersurfaces in product spaces

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Hypersurfaces of constant higher-order mean curvature in \(M\times{\mathbb{R}}\)

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

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Rigidity and convexity of hypersurfaces in spheres

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Complete surfaces with positive extrinsic curvature in product spaces

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When strictly locally convex hypersurfaces are embedded

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Weingarten Type Surfaces in ℍ<sup>2</sup>× ℝ and 𝕊<sup>2</sup>× ℝ

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Uniqueness of immersed spheres in three-manifolds

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Rotational symmetry of Weingarten spheres in homogeneous three-manifolds

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Closed Weingarten hypersurfaces in Riemannian manifolds

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Umbilical Points and W-Surfaces

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Unique continuation in geometry

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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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Locally convex hypersurfaces immersed in \(\mathbb {H}^n\times \mathbb {R}\)

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Unique Continuation for Elliptic Equations

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The geometry of properly embedded special surfaces in \(\mathbb{R}^ 3\); e.g., surfaces satisfying \(aH+bK=1\), where \(a\) and \(b\) are positive

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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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Identifiers

zbMATH Open document ID

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10.1002/mana.202200025

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6049398

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