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The Abresch–Rosenberg shape operator and applications - MaRDI portal

The Abresch–Rosenberg shape operator and applications (Q5240165)

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scientific article; zbMATH DE number 7121880

Language	Label	Description	Also known as
English	The Abresch–Rosenberg shape operator and applications	scientific article; zbMATH DE number 7121880

Statements

scholarly article

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The Abresch–Rosenberg shape operator and applications (English)

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José M. Espinar

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Haimer A. Trejos

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Transactions of the American Mathematical Society

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publication date

24 October 2019

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full work available at URL

https://arxiv.org/abs/1512.02099

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zbMATH Keywords

constant mean curvature surfaces

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homogeneous space

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Codazzi pairs

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finite total curvature

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Simons' equation

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eigenvalue estimate

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pinching 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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The Codazzi equation for surfaces

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On the first stability eigenvalue of constant mean curvature surfaces into homogeneous 3-manifolds

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Simons type equation in \(\mathbb S^{2}\times \mathbb R\) and \(\mathbb H^{2}\times \mathbb R\) and applications

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Constant mean curvature surfaces in \({\mathbb {M}}^2(c)\times \mathbb {R}\) and finite total curvature

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Complete hypersurfaces with constant mean curvature and finite total curvature

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Embedded minimal tori in \(S^3\) and the Lawson conjecture

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Hypersurfaces with constant scalar curvature

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Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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Isometric immersions into 3-dimensional homogeneous manifolds

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Complete constant mean curvature surfaces and Bernstein type theorems in \(\mathbb M^2 \times \mathbb R\)

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Complete constant mean curvature surfaces in homogeneous spaces

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Locally convex surfaces immersed in a Killing submersion

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Harmonic maps and constant mean curvature surfaces in H 2 x R

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On complete submanifolds with parallel mean curvature in product spaces

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Elliptic Partial Differential Equations of Second Order

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On doubly periodic minimal surfaces in \(\mathbb H^2 \times\mathbb R\) with finite total curvature in the quotient space

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Sobolev and isoperimetric inequalities for riemannian submanifolds

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Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern.

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Abstract Weingarten surfaces

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First stability eigenvalue characterization of Clifford hypersurfaces

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The Geometries of 3-Manifolds

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Minimal varieties in Riemannian manifolds

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On the Gauss curvature of compact surfaces in homogeneous 3-manifolds

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Harmonic functions on complete riemannian manifolds

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Identifiers

zbMATH Open document ID

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10.1090/tran/7735

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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:5240165

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