Min Ru Book order

The study of minimal surfaces is an important subject in differential geometry, and Nevanlinna theory is an important subject in complex analysis and complex geometry. This book discusses the interaction between these two subjects. In particular, it describes the study of the value distribution properties of the Gauss map of minimal surfaces through Nevanlinna theory, a project initiated by the prominent differential geometers Shiing-Shen Chern and Robert Osserman.

Exploring the intersection of complex analysis and number theory, the book delves into Nevanlinna theory and Diophantine approximation. It highlights the surprising similarities between these areas and how recent insights have propelled advancements in both fields. The text discusses the resolution of long-standing conjectures, showcasing the evolving understanding of these mathematical connections and their implications for ongoing research.