Bøger af Shiing-shen (Nankai Univ Chern

Presenting discussions on important curvatures such as the Cartan torsion, the S-curvature, the Landsberg curvature and the Riemann curvature, this book also deals with Finsler metrics with special curvature or geodesic properties, such as projectively flat Finsler metrics, Berwald metrics, Finsler metrics of scalar flag curvature and more.

This is a translation of the text based on a lecture series delivered by Professor S.S Chern in Beijing University in 1980. The contribution to mathematics literature combines simplicity and economy of approach with depth of contents.