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Integration of geodesic flows on symmetric spaces

✍ Scribed by A. S. Mishchenko


Publisher
SP MAIK Nauka/Interperiodica
Year
1982
Tongue
English
Weight
238 KB
Volume
31
Category
Article
ISSN
0001-4346

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Let \(M=G / K\) be a simply connected symmetric space of non-positive curvature. We establish a natural 1-1-correspondence between geodesically convex \(K\)-invariant functions on \(M\) and convex functions, invariant under the Weyl group, on a Cartan subspace.

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## Abstract For both extremal and non‐extremal spherically symmetric black holes in theories with massless scalars and vectors coupled to gravity, we derive a general form of first‐order gradient flow equations, equivalent to the equations of motion. For theories that have a symmetric moduli space