Metric Spaces of Non-Positive Curvature
Publisher: Springer; Springer Berlin Heidelberg
Published: Dec 08, 2010
Format: paperback
Number of pages: 664
ISBN-13: 9783642083990
Description: This book describes the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is developed in a manner accessible to anyone familiar with the rudiments of topology and group theory: non-trivial theorems are proved by concatenating elementary geometric arguments, and many examples are given. Part I is an introduction to the geometry of geodesic spaces. In Part II the basic theory of spaces with upper curvature bounds is developed. More specialized topics, such as complexes of groups, are covered in Part III. The book is divided into three parts, each part is divided into chapters and the chapters have various subheadings. The chapters in Part III are longer and for ease of reference are divided into numbered sections.
Notes: Source title: Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften (319))