Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 47, No. 1, pp. 1527 (2006) 

Eigenvalues of a natural operator of centroaffine and graph hypersurfacesBangYen ChenDepartment of Mathematics, Michigan State University, East Lansing, Michigan 488241027, USA; email: bychen@math.msu.eduAbstract: In this article we obtain optimal estimates for the eigenvalues of a natural operator $K_{T^\#}$ for locally strongly convex centroaffine and graph hypersurfaces. Several immediate applications of our eigenvalue estimates are presented. We also provide examples to illustrate that our eigenvalue estimates are optimal. Keywords: Centroaffine hypersurface, graph hypersurface, the operator, eigenvalue estimate. Classification (MSC2000): 53A15, 53B20, 53B25; 53C40 Full text of the article:
Electronic version published on: 9 May 2006. This page was last modified: 4 Nov 2009.
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