Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Finsler Geometry, Sapporo 2005 — In Memory of Makoto Matsumoto, S. V. Sabau and H. Shimada, eds. (Tokyo: Mathematical Society of Japan, 2007), 19 - 71
On two curvature-driven problems in Riemann–Finsler geometry
This article uses the Berwald connection exclusively, together with its two curvatures, to cut an efficient path across the landscape of Finsler geometry. Its goal is to initiate differential geometers into two key research areas in the field: the search for unblemished "unicorns" and the study of Ricci flow. The exposition is almost self-contained.
Received: 6 January 2007
Revised: 14 March 2007
First available in Project Euclid: 16 December 2018
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Bao, David. On two curvature-driven problems in Riemann–Finsler geometry. Finsler Geometry, Sapporo 2005 — In Memory of Makoto Matsumoto, 19--71, Mathematical Society of Japan, Tokyo, Japan, 2007. doi:10.2969/aspm/04810019. https://projecteuclid.org/euclid.aspm/1545001102