Geometry of Pseudo-Finsler Submanifolds

ISBN-13: 9789048156016 / Angielski / Miękka / 2010 / 244 str.

PhD Aurel Bejancu; Hani Reda Farran

Opis

This book begins with a new approach to the geometry of pseudo-Finsler manifolds. It also discusses the geometry of pseudo-Finsler manifolds and presents a comparison between the induced and the intrinsic Finsler connections. The Cartan, Berwald, and Rund connections are all investigated. Included also is the study of totally geodesic and other special submanifolds such as curves, surfaces, and hypersurfaces. Audience: The book will be of interest to researchers working on pseudo-Finsler geometry in general, and on pseudo-Finsler submanifolds in particular.

Spis treści

Preface. 1. Pseudo-Finsler Manifolds. 2. Pseudo-Finsler Submanifolds. 3. Special Immersions of Pseudo-Finsler Manifolds. 4. Geometry of Curves in Finsler Manifolds. 5. Pseudo-Finsler Hypersurfaces. 6. Finsler Surfaces. Basic Notations and Terminology. References. Subject Index.