Bøker av Shiing-Shen 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.

Presents two sets of never-before-published notes from lectures given by S.-S. Chern. Differential Manifolds gives a smooth and rapid introduction to differential manifolds and differential geometry; Lectures on Integral Geometry is an accessible introduction to that subject.

Presents a set of never-before-published notes from lectures given by S.-S. Chern in 1951 on the topic of ""Minimal Submanifolds in a Riemannian Manifold"". Also presented are five of Chern's expository papers which complement the lecture notes and provide an overview of the scope and power of differential geometry.