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Global Metrizability on Sprays of Scalar Curvature

Duanmu, Xingzhi et al.
arXiv (All) · Papers
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differential-geometry
Sprays of scalar curvature constitute an important class of sprays, and such a class includes all two-dimensional sprays. In this paper, we consider the global metrizability of certain sprays on a manifold under some curvature and topological conditions. We prove that, for a regular spray {\bf G} of
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