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2006•Journal of Hangzhou Dianzi UniversityRequires access

The Construction of Exhaustion Function on Riemannian Manifold with Nonnegative Curvature

Jiao Zhen-hua

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Abstract

This paper introduces Busemann functions on Riemannian manifold with nonnegative curvature and gives the construction of exhaustion functions.The author mainly gives the proof of the exhaustivity of the constructed function.

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What this paper is about

This paper introduces Busemann functions on Riemannian manifold with nonnegative curvature and gives the construction of exhaustion functions.The author mainly gives the proof of the exhaustivity of the constructed function.

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Available abstract

This paper introduces Busemann functions on Riemannian manifold with nonnegative curvature and gives the construction of exhaustion functions.The author mainly gives the proof of the exhaustivity of the constructed function.

Key concepts: Riemannian manifold, Sectional curvature, Function (biology), Curvature, Mathematics, Manifold (fluid mechanics), Ricci curvature, Scalar curvature

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