A characterization of revolution quadrics by a system of partial differential equations

DOI10.1090/S0002-9939-2010-10439-2zbMath1215.53010arXiv0901.2508OpenAlexW2028617744MaRDI QIDQ3056550

Vladimir I. Oliker

Publication date: 12 November 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.2508

zbMATH Keywords

quadrichypersurface of revolutionObata's theorem on spherical harmonics

Mathematics Subject Classification ID

Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05)

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Far-field reflector problem and intersection of paraboloids

Cites Work

• On closed Weingarten surfaces
• On some affine isoperimetric inequalities
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• A characterization of quadrics by the principal curvature functions
• Prescribing symmetric functions of the eigenvalues of the Ricci tensor
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• Eigenvalues and Eigenfunctions of Riemannian Manifolds
• Global affine differential geometry of hypersurfaces
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