Global Riemannian Geometry
by Markvorsen, Steen; Min-Oo, MaungFormat: Paperback
Pub. Date: 2003-08-01
Publisher(s): Birkhauser
Other versions by this Author
-
Free Shipping on all Orders Over $35!*
*excludes Marketplace items.
List Price: $34.95
Buy New
Usually Ships in 8 - 10 Business Days.
$34.78
Rent Textbook
Select for Price
Rent Digital
Online:
30 Days access
Downloadable: 30 Days
Downloadable: 30 Days
$10.13
Online:
60 Days access
Downloadable: 60 Days
Downloadable: 60 Days
$13.50
Online:
90 Days access
Downloadable: 90 Days
Downloadable: 90 Days
$16.88
Online:
120 Days access
Downloadable: 120 Days
Downloadable: 120 Days
$20.25
Online:
180 Days access
Downloadable: 180 Days
Downloadable: 180 Days
$21.94
Online:
1825 Days access
Downloadable: Lifetime Access
Downloadable: Lifetime Access
$33.74
$21.94
Used Textbook
We're Sorry
Sold Out
Summary
The 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 their curvature- the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold.It is intended for both graduate students and researchers who want to get a quick and modern introduction to these topics.
Table of Contents
| Distance Geometric Analysis on Manifolds | |
| Appetizer and Introduction | p. 1 |
| The Comparison Setting and Preliminaries | p. 1 |
| Analysis of Restricted Distance Functions | p. 2 |
| Concerning the Setting and Notation | p. 8 |
| Green's Formulae and the Co-area Formula | p. 12 |
| The First Dirichlet Eigenvalue Comparison Theorem | p. 13 |
| Isoperimetric Relations | p. 18 |
| Mean Exit Time Comparison | p. 25 |
| Capacity Comparison | p. 27 |
| The Kelvin-Nevanlinna-Royden Criteria for Transience | p. 31 |
| Surfaces of Revolution | p. 34 |
| Warped Products | p. 37 |
| Answering the Questions in the Appetizer | p. 39 |
| A Sufficient Condition for Hyperbolicity | p. 41 |
| Graphs and Flows | p. 44 |
| Scherk's Graph is Transient | p. 46 |
| The Dirac Operator in Geometry and Physics | |
| Spinors and the Dirac Operator | p. 56 |
| Gromov's K-Area | p. 64 |
| Positive Mass Theorems | p. 76 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
An electronic version of this book is available through VitalSource.
This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.
By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.
A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.
Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.
Please view the compatibility matrix prior to purchase.