M-theory compactifications on hyperbolic spaces
β Scribed by D. Orlando
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 192 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0015-8208
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β¦ Synopsis
Abstract
Negativelyβcurved, maximally symmetric hyperbolic spaces enjoy a number of remarkable properties that can be traced back to Riemannian geometry, group theory and algebraic geometry. In this note we recall some such properties and find H~n~ as Mβtheory solutions. Based on a talk given at the RTN Workshop 2006, Napoli.
π SIMILAR VOLUMES
The Riemannian geometry of coset spaces is reviewed, with emphasis on its applications to supergravity and M-theory compactifications. Formulae for the connection and curvature of rescaled coset manifolds are generalized to the case of nondiagonal Killing metrics. The example of the N 010 spaces is