Upper Bounds for the First Eigenvalue of a Jacobi Type Operator Via Anisotropic Mean Curvatures

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• 作者：J. F. da Silva ; H. F. de Lima ; Fábio R. dos Santos…
• 关键词：First positive eigenvalue of the Jacobi operator ; kth anisotropic mean curvatures ; geodesic sphere ; Wulff shape
• 刊名：Results in Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：71
• 期：1-2
• 页码：211-224
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1420-9012
• 卷排序：71

文摘

Our purpose in this article is to obtain sharp upper estimates for the first positive eigenvalue of a Jacobi type operator, which is a suitable extension of the linearized operators of the higher order mean curvatures of a closed hypersurface immersed in the Euclidean space, through its anisotropic mean curvatures.