Results 101 to 110 of about 796 (142)
On Anosov automorphisms of nilmanifolds
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Lauret, Jorge, Will, Cynthia E.
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Symplectic Bott-Chern cohomology of solvmanifolds [PDF]
We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T.
Daniele Angella +3 more
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Nilmanifolds: complex structures, geometry and deformations [PDF]
We consider nilmanifolds with left-invariant complex structure and prove that in the generic case small deformations of such structures are again left-invariant.
Rollenske, Sönke, Sönke Rollenske
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Partially hyperbolic lattice actions on 2-step nilmanifolds [PDF]
We prove global rigidity results for actions of higher rank lattices on nilmanifolds containing a partially hyperbolic element. We consider actions of higher rank lattices on tori or on $2-$step nilpotent nilmanifolds, such that the actions contain a ...
Sandfeldt, Sven, Lee, Homin
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On geodesic orbit nilmanifolds
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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On isospectral deformations on nilmanifolds [PDF]
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Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds
The connections between Euler\u27s equations on central extensions of Lie algebras and Euler\u27s equations on the original, extended algebras are described. A special infinite sequence of central extensions of nilpotent Lie algebras constructed from the
Taimanov, I. A.
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Nilmanifolds with Anosov Automorphism
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.
S. G. Dani, Dani, S. G.
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