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A Reilly Type Inequality for the First Eigenvalue of Finsler Submanifolds in Minkowski Space

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Abstract

In this paper, we study the extrinsic upper bound for the first eigenvalue of compact Finsler submanifolds in Minkowski space and obtain a Reilly type inequality. It is reduced to the standard Reilly inequality when the ambient space is Euclidean.

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Correspondence to Bing Ye Wu.

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Mathematics Subject Classification (1991): 53C60, 53B40.

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Wu, B.Y. A Reilly Type Inequality for the First Eigenvalue of Finsler Submanifolds in Minkowski Space. Ann Glob Anal Geom 29, 95–102 (2006). https://doi.org/10.1007/s10455-005-9000-x

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  • DOI: https://doi.org/10.1007/s10455-005-9000-x

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