Polyteknisk Boghandel

Covering the field of analysis on Riemann manifold, this book focuses on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow. It shows how to use the tools of Sobolev embedding and heat kernel estimates to study Ricci flows in research areas such as surgery, which has attracted much attention. One of the main applications discussed is the clarification and simplification of the proof of the Poincare conjecture, for which Perelman was awarded the Fields Medal. The book also describes the proof of Hamilton's little loop conjecture with surgery.