On the Aleksandrov-Fenchel inequality and the stability of the sphere

Author:

Arnold Randolf

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference13 articles.

1. Bonnesen, T., Fenchel, W.: Theorie der konvexen Körper. Berlin: Springer. 1934.

2. Busemann, H.: Convex Surfaces. New York: Interscience. 1958.

3. Diskant, V. I.: Theorems of stability for surfaces close to a sphere. (Russian). Sibirsk. Mat. Zh.6, 1254?1266 (1965).

4. Diskant, V. I.: Convex surfaces with bounded mean curvature. (Russian). Sibirsk. Mat. Zh.12, 659?663 (1971). English translation: Siberian Math. J.12, 469?472 (1971).

5. Goodey, P. R., Groemer, H.: Stability results for first order projection bodies. Proc. Amer. Math. Soc.109, 1103?1114 (1990).

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