Books in the Peking University Series In Mathematics series

Uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. This book introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and global results from classic and modern Finsler geometry, and more.

This volume focuses on important financial subjects that has attracted more and more academic and practical attention since the international financial crisis. The collection of research papers includes a self-contained introduction and covers recent research developments on credit and asymmetric information risks. Readers will find the volume treats both the classical and fundamental problem in finance concerning the opportunity of arbitrage in the setting of credit risks.

This collection covers all papers and partial talks given by Prof Weiyue Ding, who was a member of the Chinese Academy of Sciences. Prof Weiyue Ding devoted his academic career to the research in the field of ordinary differential equations and geometric analysis, e.g. Poincaré-Birkhoff fixed point theorems, blow-up analysis for heat flow of harmonic maps.