内容提要
|
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.
|