Geodesic
Standard homogeneous Einstein manifolds and Diophantine equations
Archivum mathematicum, Tome 32 (1996) no. 2, pp. 123-136.

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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.
Classification : 11D09, 53C25, 53C30
Keywords: Riemannian manifolds; homogeneous spaces; Einstein metrics 
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     author = {Nikonorov, Yurii G. and Rodionov, Eugene D.},
     title = {Standard homogeneous {Einstein} manifolds and {Diophantine} equations},
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     pages = {123--136},
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     zbl = {0903.53033},
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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/