This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The book features numerous exercises with full solutions and a series of detailed examples are picked up repeatedly to illustrate each new definition or property introduced.
This volume is an English translation of Sakai's textbook on Riemannian Geometry which was originally written in Japanese and published in 1992.
The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.
This book provides an introduction to Riemannian geometry, the geometry of curved spaces.
... theorem. In F. Dillen & L. Verstraelen (Eds.), Handbook of Differential Geometry (pp. 709–746). Elsevier. Gilkey, P., Leahy, J., & Park, J. (2000). Spectral geometry, Riemannian submersions, and the Gromov-Lawson conjecture. Chapman ...
This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry.
The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on ...
This second edition, divided into fourteen chapters, presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view.
This book has many innovations, such as the notion of intrinsic normal differentiation and the Gaussian torsion of a submanifold in a Euclidean multidimensional space or in a space of constant curvature, an affine connection defined in a ...
Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.