Results 61 to 70 of about 643 (100)
Periodic points on nilmanifolds and solvmanifolds [PDF]
Pacific Journal of Mathematics, 1994 Let \(M\) be a compact manifold and \(f:M \to M\) a self map on \(M\). For any natural number \(n\), the \(n\)-th iterate of \(f\) is the \(n\)-fold composition \(f^ n:M \to M\). The fixed point set of \(f\) is \(\text{fix} (f)=\{x \in M:f(x)=x\}\). We say that \(x \in M\) is a periodic point of \(f\) is \(x\) is a fixed point of some \(f^ n\) and we ...
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Bulletin of the American Mathematical Society, 1963 Auslander, L., Green, L.
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Euclidean fiberings of solvmanifolds [PDF]
Pacific Journal of Mathematics, 1965 openaire +2 more sources
Einstein solvmanifolds and graphs
Comptes Rendus. Mathématique, 2006 In this Note, we obtain Einstein solvmanifolds using Abelian extension of two-step nilpotent Lie algebras associated with graphs.
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Einstein solvmanifolds and nilsolitons
, 2008 The purpose of the present expository paper is to give an account of the recent progress and present status of the classification of solvable Lie groups admitting an Einstein left invariant Riemannian metric, the only known examples so far of noncompact Einstein homogeneous manifolds.
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A non-Standard Indefinite Einstein Solvmanifold
Proceedings of the International Geometry CenterWe describe an example of an indefinite invariant Einstein metric on a solvmanifold which is not standard, and whose restriction on the nilradical is ...
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On Formality and Solvmanifolds
, 2008 Topology of symplectic manifolds is nowadays a subject of intensive development. The simplest examples of such manifolds are Kähler manifolds and an important property of the latter is their formality. Thus, a possible way of constructing symplectic manifolds with no Kähler structure is to find such ones which are not formal. M. Fernández und V.
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Uniform distribution in solvmanifolds
Advances in Mathematics, 1971 Auslander, L., Brezin, J.
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