8 edition of **Riemannian geometry** found in the catalog.

- 372 Want to read
- 34 Currently reading

Published
**1982**
by W. de Gruyter in Berlin, New York
.

Written in English

- Geometry, Riemannian

**Edition Notes**

Statement | Wilhelm Klingenberg. |

Series | De Gruyter studies in mathematics ;, 1 |

Classifications | |
---|---|

LC Classifications | QA649 .K544 1982 |

The Physical Object | |

Pagination | x, 396 p. ; |

Number of Pages | 396 |

ID Numbers | |

Open Library | OL3490029M |

ISBN 10 | 3110086735 |

LC Control Number | 82009772 |

Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese)for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems. The book begins with an introduction chapter which motivates the pinch-ing problem. A survey of the sphere theorem’s long historical development is discussed as well as possible future applications of the Ricci ow. As with any discussion in di erential geometry, there is always a labyrinth.

"This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry." -Publicationes Mathematicae "This is a very nice introduction to global Riemannian geometry, which leads the . Book:Riemannian Geometry. Jump to navigation Jump to search. WARNING! The in-house PDF Download as PDF. This is a Wikipedia book, a collection of Wikipedia articles that can be easily saved, imported by an external electronic rendering service, and ordered as a printed Riemannian geometry Riemannian manifold Tangent space Vector space.

Jul 19, · This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry /5(3). Book Title:Riemannian Geometry: A Beginner's Guide (Jones and Bartlett Books in Mathematics) The author establishes basic material early to describe the most important geometric features of curved objects from the plebian racetrack to the grand structures of the universe.

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Jun 13, · Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems/5(20).

May 04, · This is one of the few Works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory. 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/5(3). Lectures on Geodesics Riemannian Geometry. Aim of this book is to give a fairly complete treatment of the foundations of Riemannian geometry through the tangent bundle and the geodesic flow on it.

Topics covered includes: Sprays, Linear connections, Riemannian manifolds, Geodesics, Canonical connection, Sectional Curvature and metric structure. “This is an introduction to modern methods in Riemannian geometry containing interesting and original approaches to many areas in this field.

After a general introduction (metrics, curvature, geodesics) and concrete calculations for many examples, the second half of the book considers Bochner–Cartan techniques and comparison capitolchamberartists.com: Springer-Verlag New York. I have studied differential geometry, and am looking for basic introductory texts on Riemannian geometry.

My target is eventually Kähler geometry, but certain topics like geodesics, curvature, connections and transport belong more firmly in Riemmanian geometry. The reader can consult for instance the recent book [Br5].

of our “mentor” Marcel Berger. However, Riemannian Geometry is not only a fascinating field in itself. It has proved to be a precious tool in other parts of mathematics.

In this respect, we can quote the major breakthroughs in four-dimensional topology which occurred in the eighties. Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric, i.e.

with an inner product on the tangent space at each point that varies smoothly from point to point. This gives, in particular. Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics.

The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental capitolchamberartists.com: Birkhäuser Basel. If you get a book about Riemannian geometry to precede a study of general relativity, you might be disappointed.

Spacetime is pseudo-Riemannian. Once you get through your pure-math textbook. you’ll have to revisit every single theorem to figure o. This volume is an English translation of Sakai's textbook on Riemannian Geometry which was originally written in Japanese and published in The author's intent behind the original book was to provide to advanced undergraduate and graudate students an introduction to modern Riemannian geometry that could also serve as a reference.

The book begins with an explanation of the fundamental /5(3). Sep 23, · Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics.

The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems/5(3). Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics.

The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems.

Brand new Book. Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics.

The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental. Differential and Riemannian Geometry focuses on the methodologies, calculations, applications, and approaches involved in differential and Riemannian geometry.

The book first offers information on local differential geometry of space curves and surfaces and tensor calculus and Riemannian geometry. The study of Riemannian geometry is rather meaningless without some basic knowledge on Gaussian geometry i.e.

the geometry of curves and surfaces in 3-dimensional Euclidean space. For this we recommend the following text: M. do Carmo, Di erential geometry of. Nov 24, · This is one of the few works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory, while also presenting the most up-to-date research.

This book will appeal to readers with a knowledge of standard manifold. Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics.

The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems/5(38). Riemannian Geometry by capitolchamberartists.com, capitolchamberartists.com, capitolchamberartists.comaine is a great book which contains a lot more than one could learn in an introductory course in Riemannian geometry.

I would suggest this book if you already have some idea in the subject. Reading this book for someone new to the subject might be cumbersome and intimidating. Have fun:). This text has been adopted at: University of Pennsylvania, Philadelphia University of Connecticut, Storrs Duke University, Durham, NC California Institute of Technology, Pasadena University of Washington, Seattle Swarthmore College, Swarthmore, PA University of Chicago, IL University of Michigan, Ann Arbor "In the reviewer's opinion, this is a superb book which makes learning a real pleasure.

Nevertheless, these books do not focus on (pseudo)-Riemannian geometry per se, but on general differential geometry, trying to introduce as many concepts as possible for the needs of modern theoretical physics. Most purely mathematical books on Riemannian geometry do not treat the pseudo-Riemannian case (although many results are exactly the same).

This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry followed by a selection of more specialized capitolchamberartists.com by: This is one of the few Works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory.

The book will appeal to a readership that have a basic knowledge of standard manifold theory, including tensors, forms, and Lie .Nov 07, · Riemannian Geometry book. Read reviews from world’s largest community for readers. Intended for a one year course, this volume serves as a single source, /5.