Eigenvalues of a Natural Operator of Centro-affine and Graph Hypersurfaces

Abstract

In this article we obtain optimal estimates for the eigenvalues of a natural operator KT# for locally strongly convex centro-affine and graph hypersurfaces. Several immediate applications of our eigenvalue estimates are presented. We also provide examples to illustrate that our eigenvalue estimates are optimal. MSC 2000: 53A15, 53B20, 53B25 (primary); 53C40… (More)

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