Results 81 to 90 of about 1,765 (105)

Algebraic dimension of complex nilmanifolds [PDF]

, 2018
Fino, A., Grantcharov, G., Verbitsky, M.
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Spherical distributions on nilmanifolds

Journal of Functional Analysis, 1978
AbstractLet N be a connected nilpotent Lie group and Γ be a discrete subgroup for which M = Γ\N is compact. Let R be the regular representation of N in L2(M). Projections onto primary (irreducible) subspaces of R are given by convolution against distributions (the spherical distributions).
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Thed-invariant of compact nilmanifolds

Inventiones Mathematicae, 1984
Let G be a simply connected nilpotent Lie group and \(\Gamma\) a discrete subgroup such that G/\(\Gamma\) is compact. Then a choice of an orientation provides G/\(\Gamma\) with a stable framing. In this note it is shown that the Adams-d-invariant d[G/\(\Gamma\) ] vanishes (if dim G\(>2)\).
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Maps on infra-nilmanifolds [PDF]

Pacific Journal of Mathematics, 1995
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On geodesic orbit nilmanifolds

Journal of Geometry and Physics
The paper is devoted to the study of geodesic orbit Riemannian metrics on nilpotent Lie groups. The main result is the construction of continuous families of pairwise non-isomorphic connected and simply connected nilpotent Lie groups, every of which admits geodesic orbit metrics. The minimum dimension of groups in the constructed families is $10$.
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Topological dynamics on nilmanifolds [PDF]

Bulletin of the American Mathematical Society, 1961
Auslander, L., Hahn, F., Markus, L.
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Fundamental groups, nilmanifolds and iterated integrals [PDF]

Bulletin of the American Mathematical Society, 1973
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AFFINE STRUCTURES ON NILMANIFOLDS

International Journal of Mathematics, 1996
We investigate the existence of affine structures on nilmanifolds Γ\G in the case where the Lie algebra g of the Lie group G is filiform nilpotent of dimension less or equal to 11. Here we obtain examples of nilmanifolds without any affine structure in dimensions 10, 11. These are new counterexamples to the Milnor conjecture.
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THERE ARE ONLY FINITELY MANY INFRA-NILMANIFOLDS UNDER EACH NILMANIFOLD

The Quarterly Journal of Mathematics, 1988
Let G be a connected and simply connected nilpotent Lie group and K a maximal compact subgroup of Aut(G). By an (infra-)nilmanifold one means the coset space \(E\setminus G\) where S is a torsion-free discrete uniform lattice of G (G\(\circ K\) resp.). The main result of this work is the following theorem.
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Nilmanifolds with Anosov Automorphism

Journal of the London Mathematical Society, 1978
In his survey article [14] S Smalc raised the problem of classifying all Anosov automorphisms of compact manifolds. His conjecture, which is now supported by results of J- Franks [5J and A, Manning [91, is that any Anosov automorphism of a compact manifold is topologically conjugate to a hyperbolic infra-nilmanifold automorphism.
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