Abstract
In §3.9, we encountered the flag curvature. As the name suggests, this quantity (denoted K) involves a location x ϵ M, a flagpole ℓ:= with y ϵ T x M, and a transverse edge V ϵ T x M. The precise formula is quite elegantly given by (3.9.3):
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Bao, D., Chern, SS., Shen, Z. (2000). Constant Flag Curvature Spaces and Akbar-Zadeh’s Theorem. In: An Introduction to Riemann-Finsler Geometry. Graduate Texts in Mathematics, vol 200. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1268-3_12
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