Advanced Studies in Pure Mathematics

On two curvature-driven problems in Riemann–Finsler geometry

David Bao

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Abstract

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.

Article information

Source
Finsler Geometry, Sapporo 2005 — In Memory of Makoto Matsumoto, S. V. Sabau and H. Shimada, eds. (Tokyo: Mathematical Society of Japan, 2007), 19-71

Dates
Received: 6 January 2007
Revised: 14 March 2007
First available in Project Euclid: 16 December 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1545001102

Digital Object Identifier
doi:10.2969/aspm/04810019

Mathematical Reviews number (MathSciNet)
MR2389251

Zentralblatt MATH identifier
1147.53018

Citation

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


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