Riemannian Geometry (Graduate Texts in Mathematics)
| Author | : | |
| Rating | : | 4.20 (897 Votes) |
| Asin | : | 3319266527 |
| Format Type | : | paperback |
| Number of Pages | : | 499 Pages |
| Publish Date | : | 2017-05-23 |
| Language | : | English |
DESCRIPTION:
Five Stars Great book and excellent service!. Joseph J Grenier said Riemannian Geometry. Riemannian GeometrySpringerJoseph Grenier MD PhDThis is a very advanced textbook on metric and algebraic proofs of critical theorems in the field of metric spaces involving manifolds and other Riemannian Geometry Riemannian GeometrySpringerJoseph Grenier MD PhDThis is a very advanced textbook on metric and algebraic proofs of critical theorems in the field of metric spaces involving manifolds and other 3D structures. Unless you have already a good understanding of Riemann spaces and proofs, you will not understand the thinking involved. First, definitions, theorems, proofs, and exercises abound throughout every. D structures. Unless you have already a good understanding of Riemann spaces and proofs, you will not understand the thinking involved. First, definitions, theorems, proofs, and exercises abound throughout every
… First, definitions, theorems, proofs, and exercises abound throughout every section of this 500 page mathematics book. “This is a very advanced textbook on metric and algebraic proofs of critical theorems in the field of metric spaces involving manifolds and other 3D structures. … I recommend this book for researchers having a strong background to begin with.” (Joseph J. Grenier, , June, 2016). The history of development in the area is comprehensive. … The experts will find this a useful research tool
This is one of the few Works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory. Intended for a one year course, this text serves as a single source, introducing readers to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. The book will appeal to a readership that have a basic knowledge of standard manifold theory, including tensors, forms, and Lie groups.Important revisions to the third edition include:a substantial addition of unique and enriching exercises scattered throughout the text;inclusion of an increased number of coordinate calculations of connection and curvature;addition of general formulas for curvature on Lie Groups and submersions;integration of variational calculus into the text allowing for an early treatment of the Sphere theorem using a proof by Berger;incorporation of several recent results about manifolds with positive curvature;presentation of a new simplifying approach to the Bochner technique for tensors with application to bound topological quanti
His current research is on various aspects of Riemannian geometry. Professor Petersen has authored two important textbooks for Springer: Riemannian Geometry in the GTM series and Linear Algebra in the UTM series. . Peter Petersen is a Professor of Mathematics at UCLA