Level sets of Gauss curvature in surfaces of constant mean curvature

zbMath1097.53036MaRDI QIDQ2569817

Fei-Tsen Liang

Publication date: 26 April 2006

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_2000__104__1_0

Mathematics Subject Classification ID

Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Counterexample to a conjecture of H. Hopf
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• Superharmonicity of curvatures for surfaces of constant mean curvature
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Negatively curved sets on surfaces of constant mean curvature in \(\mathbb{R}^3\) are large

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