Buch, Englisch, 168 Seiten, Paperback, Format (B × H): 187 mm x 235 mm
Buch, Englisch, 168 Seiten, Paperback, Format (B × H): 187 mm x 235 mm
Reihe: Synthesis Lectures on Mathematics and Statistics
ISBN: 978-1-60845-759-5
Verlag: MORGAN & CLAYPOOL
The second and third chapters are devoted to the study of various kinds of Riemannian extensions that associate to an affine structure on a manifold a corresponding metric of neutral signature on its cotangent bundle. These play a role in various questions involving the spectral geometry of the curvature operator and homogeneous connections on surfaces. The fourth chapter deals with Kähler--Weyl geometry, which lies, in a certain sense, midway between affine geometry and Kähler geometry. Another feature of the book is that we have tried wherever possible to find the original references in the subject for possible historical interest. Thus, we have cited the seminal papers of Levi-Civita, Ricci, Schouten, and Weyl, to name but a few exemplars. We have also given different proofs of various results than those that are given in the literature, to take advantage of the unified treatment of the area given herein.
Autoren/Hrsg.
Weitere Infos & Material
- Basic Notions and Concepts
- The Geometry of Deformed Riemannian Extensions
- The Geometry of Modified Riemannian Extensions
- (para)-Kähler-Weyl Manifolds