Finding Einstein solvmanifolds by a variational method |
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| Authors: | Jorge Lauret |
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| Institution: | (1) FaMAF, CIEM, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina (e-mail: lauret@mate.uncor.edu) , AR |
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| Abstract: | We use a variational approach to prove that any nilpotent Lie algebra having a codimension-one abelian ideal, and anyone
of dimension , admits a rank-one solvable extension which can be endowed with an Einstein left-invariant riemannian metric. A curve of
-dimensional Einstein solvmanifolds is also given.
Received: 29 May 2001; in final form: 4 October 2001 / Published online: 4 April 2002 |
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| Keywords: | Mathematics Subject Classification (2000): 53C25 53C30 22E25 |
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