Results 31 to 40 of about 402 (139)
Smooth Models for Certain Fibered Partially Hyperbolic Systems
, 2023 We prove that under restrictions on the fiber, any fibered partially hyperbolic system over a nilmanifold is leaf conjugate to a smooth model that is isometric on the fibers and descends to a hyperbolic nilmanifold automorphism on the base.
Doucette, Meg
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A Family of Complex Nilmanifolds with in finitely Many Real Homotopy Types
Complex Manifolds, 2018 We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga, with a > [0,∞), of real dimension eight with (strongly non-nilpotent) complex structures.
Latorre Adela +2 more
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A new mechanism for symmetry breaking from nilmanifolds
Journal of High Energy Physics, 2020 We present a method to obtain a scalar potential at tree level from a pure gauge theory on nilmanifolds, a class of negatively-curved compact spaces, and discuss the spontaneous symmetry breaking mechanism induced in the residual Minkowski space after ...
David Andriot +4 more
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Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds
, 2021 A nilmanifold is a (left) quotient of a nilpotent Lie group by a cocompact lattice. A hypercomplex structure on a manifold is a triple of complex structure operators satisfying the quaternionic relations.
Abasheva, Anna, Verbitsky, Misha
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Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
Complex Manifolds, 2017 Let N be a simply connected real nilpotent Lie group, n its Lie algebra, and € a lattice in N. If a left-invariant complex structure on N is Γ-rational, then HƏ̄s,t(Γ/N) ≃ HƏ̄s,t(nC) for each s; t.
Yamada Takumi
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Orbit of the diagonal in the power of a nilmanifold [PDF]
, 2010 First published in Transactions of the American Mathematical Society in volume 362, issue 3, published by the American Mathematical Society.Let X be a nilmanifold, that is, a compact is, a compact homogeneous space of a nilpotent Lie group G, and let a ...
Leibman, A.
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Expanding maps on 2-step infra-nilmanifolds [PDF]
, 2002 A C1-endomorphism f:M→M is expanding if for some Riemannian metric on M there exist c>0,λ>1 such that ∥(Df)mv∥⩾cλm∥v∥ for all v∈TM and all integers m>0.An infra-nilmanifold is the quotient of a connected, simply connected nilpotent Lie group G by a ...
Lee, H., Lee, K.B.
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Complex structures on the complexification of a real Lie algebra
Complex Manifolds, 2018 Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. Then, we can construct an integrable complex structure J̃ on h = ℝ(gℂ) from the decomposition, where ℝ(gℂ) is a real Lie algebra obtained from gℂby the ...
Yamada Takumi
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Dolbeault cohomology of compact nilmanifolds [PDF]
Transformation Groups, 2001 15 pages, Latex, to appear in Transformation ...
CONSOLE, Sergio, FINO, Anna Maria
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Nilmanifolds with a calibrated G2-structure
Differential Geometry and its Applications, 2011 We introduce obstructions to the existence of a calibrated G_2-structure on a Lie algebra g of dimension seven, not necessarily nilpotent. In particular, we prove that if there is a Lie algebra epimorphism from g to a six-dimensional Lie algebra h with kernel contained in the center of g, then h has a symplectic form.
CONTI, DIEGO, Fernández, M.
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