Geodesic
Standard homogeneous Einstein manifolds and Diophantine equations
Archivum mathematicum, Tome 32 (1996) no. 2, pp. 123-136 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Some new examples of standard homogeneous Einstein manifolds with semisimple transitive groups of motions and semisimple isotropy subgroups are constructed. For the construction of these examples the solutions of some systems of Diophantine equations are used.
Some new examples of standard homogeneous Einstein manifolds with semisimple transitive groups of motions and semisimple isotropy subgroups are constructed. For the construction of these examples the solutions of some systems of Diophantine equations are used.
Classification : 11D09, 53C25, 53C30
Keywords: Riemannian manifolds; homogeneous spaces; Einstein metrics 
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Nikonorov, Yurii G.; Rodionov, Eugene D. Standard homogeneous Einstein manifolds and Diophantine equations. Archivum mathematicum, Tome 32 (1996) no. 2, pp. 123-136. http://geodesic.mathdoc.fr/item/ARM_1996_32_2_a4/

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