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内容提要
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Sprays are systems of second order differential equations with homogeneous coefficients. Every Finsler metric induces a spray. In these lectures, I will introduce and discuss several geometric quantities including S-curvature, X-curvature, H-curvature, Riemann curvature, Ricci curvature, Douglas curvature, Weyl curvature and etc. I will discuss their relationships and geometric meanings.
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English
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