Einstein Metrics on solvable groups
Copyright policy )Einstein Metrics on solvable groups
We investigate when solvable Lie groups of a certain type do admit left invariant metrics with constant negative Ricci curvature. Our methods permit to construct a lot of new Einstein manifolds; some examples also have nonpositive sectional curvature. Further we relate the Einstein condition to the property that all geodesic symmetries are volume preserving.
- University of Zurich Switzerland
- DigiZeitschriften Germany
510.mathematics, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential geometry of homogeneous manifolds, Einstein manifolds, geodesic symmetries, left invariant metrics, Nilpotent and solvable Lie groups, solvable Lie groups, negative Ricci curvature, Article
510.mathematics, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential geometry of homogeneous manifolds, Einstein manifolds, geodesic symmetries, left invariant metrics, Nilpotent and solvable Lie groups, solvable Lie groups, negative Ricci curvature, Article
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