Homogeneous structures on Riemannian manifolds
F. Tricerri
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Homogeneous structures on Riemannian manifolds
by F. Tricerri
Published
1983
Publisher
Cambridge University Press
Pages
125
ISBN-10
0521274893
Description
The central theme of this book is the theorem of Ambrose and Singer, which gives for a connected, complete and simply connected Riemannian manifold a necessary and sufficient condition for it to be homogeneous. This is a local condition which has to be satisfied at all points, and in this way it is a generalization of E. Cartan's method for symmetric spaces. The main aim of the authors is to use this theorem and representation theory to give a classification of homogeneous Riemannian structures on a manifold. There are eight classes, and some of these are discussed in detail. Using the constructive proof of Ambrose and Singer many examples are discussed with special attention to the natural correspondence between the homogeneous structure and the groups acting transitively and effectively as isometrics on the manifold.
Subjects
Leçons sur la géométrie des espaces de Riemann
Hodge-Laplacian
The Essential John Nash
Riemann-Roch Spaces and Computation
Riemannian geometry
Integral formulas in Riemannian geometry
Frequently Asked Questions
How many pages are in Homogeneous structures on Riemannian manifolds?
This edition of Homogeneous structures on Riemannian manifolds has approximately 125 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Homogeneous structures on Riemannian manifolds?
For most readers, Homogeneous structures on Riemannian manifolds typically takes between 2h 36m and 1h 44m to complete. This is based on the book's length of approximately 31,250 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 2h 5m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 5 days • Estimated word count: 31,250 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Homogeneous structures on Riemannian manifolds?
The estimated word count for Homogeneous structures on Riemannian manifolds is approximately 31,250 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Homogeneous structures on Riemannian manifolds?
Homogeneous structures on Riemannian manifolds was written by F. Tricerri.
When was Homogeneous structures on Riemannian manifolds published?
The publication date for this specific edition is 1983. The original work may have been published on a different date.