Results 71 to 80 of about 317 (142)
Nielsen numbers of affine n-valued maps on nilmanifolds
, 2023 A nilmanifold is a quotient N\G of a connected and simply connected nilpotent Lie group G by a uniform lattice N. In this paper we determine the Reidemeister and Nielsen number of affine n-valued maps on such a nilmanifold.
Deconinck, Charlotte, Dekimpe, Karel
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What an infra-nilmanifold endomorphism really should be . . .
, 2012 Infra-nilmanifold endomorphisms were introduced in the late sixties. They play a very crucial role in dynamics, especially when studying expanding maps and Anosov diffeomorphisms.
Dekimpe, Karel
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Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]
J Geom Anal, 2022 Haller S.
europepmc +1 more source
HOMOTOPY MINIMAL PERIODS FOR HYPERBOLIC MAPS ON INFRA-NILMANIFOLDS
, 2017 © 2017 Foundation Nagoya Mathematical Journal. In this paper, we show that for every nonnilpotent hyperbolic map f on an infra-nilmanifold, the set HPer(f) is cofinite in ℕ. This is a generalization of a similar result for expanding maps in Lee and Zhao (
GERT-JAN DUGARDEIN +3 more
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Supersymmetric scale-separated AdS3 orientifold vacua of type IIB
Journal of High Energy PhysicsI construct supersymmetric AdS3 vacua of type IIB string theory that exhibit parametric scale separation in the controlled regime. These solutions arise from compactifications on seven-dimensional manifolds equipped with co-closed G 2-structures, in the ...
Vincent Van Hemelryck
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Compact homogeneous Leviflat CR-manifolds. [PDF]
Complex Analysis Synerg, 2021 Al-Abdallah AR, Gilligan B.
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Lefschetz and Nielsen coincidence numbers on nilmanifolds and solvmanifolds
, 1992 Suppose M1,M2 are compact, connected orientable manifolds of the same dimension. Then for all pairs of maps ƒ,g:M1→M2, the Nielsen coincidence number N(ƒ,g) and the Lefschetz coincidence number L(ƒ,g) are measures of the number of coincidences of ƒ and g:
Christopher K. McCord +1 more
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Coincidence theory for infra-nilmanifolds
, 2010 D. Anosov shows that N(f)=|L(f)| for all continuous selfmaps f on a nilmanifold. For a given selfmap f on an infra-nilmanifold, K.B. Lee provides a criterion to determine whether N(f)=|L(f)|. Using this criterion, D. Anosov's theorem has been generalised
Karel Dekimpe +3 more
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Ergodic Rotations of Nilmanifolds Conjugate to Their Inverses
, 2001 In answer to a question posed in [3], we give sufficient conditions on a Lie nilmanifold so that any ergodic rotation of the nilmanifold is metrically conjugate to its inverse.
J. P. Henniger
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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\(>2)\).
openaire +1 more source