Spinorial proofs of the Alexandrov theorem for higher order mean curvatures in \(\mathbb{R}^{n + 1}\) and the Heintze-Karcher inequality

DOI10.1016/j.difgeo.2014.09.003zbMath1308.53018OpenAlexW2080286920WikidataQ115356145 ScholiaQ115356145MaRDI QIDQ472240

Christophe Desmonts

Publication date: 19 November 2014

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2014.09.003

zbMATH Keywords

Alexandrov theoremspinor fields

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Spin and Spin({}^c) geometry (53C27)

Related Items (1)

On an inequality of Brendle in the hyperbolic space

Cites Work

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• On the spinor representation of surfaces in Euclidean \(3\)-space
• Dirac operators on hypersurfaces of manifolds with negative scalar curvature
• A spinorial approach to Riemannian and conformal geometry
• A general comparison theorem with applications to volume estimates for submanifolds
• Some integral formulas for closed hypersurfaces
• Dirac operator on embedded hypersurfaces
• Eigenvalues of the Dirac operator on manifolds with boundary

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