Min Li Livres

This book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state. Moreover, the recent development revealed that affine differential geometry – as differential geometry in general – has an exciting intersection area with other fields of interest, like partial differential equations, global analysis, convex geometry and Riemann surfaces. The second edition of this monograph leads the reader from introductory concepts to recent research. Since the publication of the first edition in 1993 there appeared important new contributions, like the solutions of two different affine Bernstein conjectures, due to Chern and Calabi, respectively. Moreover, a large subclass of hyperbolic affine spheres were classified in recent years, namely the locally strongly convex Blaschke hypersurfaces that have parallel cubic form with respect to the Levi-Civita connection of the Blaschke metric. The authors of this book present such results and new methods of proof.

Shell structures are structurally efficient but difficult to manufacture and thus expansive. Actively bent grid shells and segmental plate shells could be alternatives. The first kind utilizes bended members to form a continuously curved geometry and thus reduce the complexity of the joints. The second kind utilizes the stability inherited in trivalent geometries to be able to build a shell without using bending stiff joints. Both these two types of timber shell structures could largely reduce the construction cost. That is why they are chosen as the research topics. The dynamic relaxation method (DR) is applied in this research as an important numerical method. It is used as the fundamental base for developing the form-finding tools of both actively bent grid Shells and the segmental grid shells. A solver capable of the structural analysis of beam system is also developed here based on DR. Through the text, we show that DR could handle not only form-finding problems but also geometrically nonlinear analysis. The dissertation consists of four parts. Part I is the introduction. Part II and Part III present both the form-finding and analysis techniques of these two types of timber shell structures. The last part is the conclusions.

Aesthetic Surgery of the Craniofacial Skeleton is a unique atlas presenting specific procedures for aesthetic craniofacial surgery in a comprehensive and easily understandable style. With over 190 fine line drawings specially created for this volume, this book will have multifaceted applications; as an operation manual for the aesthetic craniofacial surgeon, a reference source for the general plastic surgeon, and as an introductory text for residents in craniofacial, reconstructive, oral, head and neck surgery. It includes close to 100 osteotomy methods and imperative information on patient selection, preoperative procedures, complications and implants.