Results 51 to 60 of about 402 (139)
On Eta-functions for nilmanifolds
Journal of Differential Geometry, 2014 Motivated by index formulas for Dirac-type operators over negatively curved Riemannian manifolds of finite volume, we study $\eta$-functions of certain differential operators on nilmanifolds.
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Adeles and the spectrum of compact nilmanifolds [PDF]
Pacific Journal of Mathematics, 1989 Let G be a simply-connected, connected nilpotent Lie group. Let \(\Gamma\) be a discrete cocompact subgroup of G, and let \(\lambda\) be the quasi- regular representation of \(\Gamma\), i.e. the representation of G induced by the trivial one-dimensional representation of \(\Gamma\). Then \(\lambda\) can be decomposed into a direct sum \(\lambda =\sum m(
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MATRIX SPHERICAL ANALYSIS ON NILMANIFOLDS [PDF]
Transformation Groups, 2019 Given a nilpotent Lie group $N$, a compact subgroup $K$ of automorphisms of $N$ and an irreducible unitary representation $(τ,W_τ)$ of $K$, we study conditions on $τ$ for the commutativity of the algebra of $\mathrm{End}(W_τ)$-valued integrable functions on $N$, with an additional property that generalizes the notion of $K$-invariance.
Díaz Martín, R., Saal, L.
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Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
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A Sheaf‐Theoretic CR Reduction for Levi‐Flat Manifolds Beyond the Kähler Setting
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper develops a sheaf‐theoretic reduction formalism for real‐analytic homogeneous CR manifolds realized as orbits in complex homogeneous manifolds. Let M = G0/H0 be such a CR manifold, let M↪X be a complex realization, and let π : X⟶Y be the holomorphic reduction of the ambient complex manifold.
Abdel Rahman Al-Abdallah, Shikha Binwal
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Mobius disjointness conjecture on the product of a circle and the Heisenberg nilmanifold
, 2022 Let $\mathbb{T}$ be the unit circle and $\Gamma\setminus G$ the 3-dimensional Heisenberg nilmanifold. We prove that the M\"obius function is linearly disjoint from a class of distal skew products on $\mathbb{T}\times\Gamma\setminus G$.
Ma, Jing, Wu, Ronghui
core
A common fixed point theorem for commuting expanding maps on nilmanifolds
Electronic Journal of Differential Equations, 2005 A self-map $f$ of a compact connected manifold $M$ is expanding if it locally expands distances with respect to some metric. We consider the case when $M$ is a nilmanifold and we discuss a new common fixed point theorem for two expanding maps which ...
Roberto Tauraso
doaj
Analytic torsion of nilmanifolds with (2, 3, 5) distributions
Analysis and Geometry in Metric SpacesWe consider generic rank two distributions on five-dimensional nilmanifolds and show that the analytic torsion of their Rumin complex coincides with the Ray-Singer torsion.
Haller Stefan
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Discrete Analysis, 2017 Notes on compact nilspaces, Discrete Analysis 2017:16, 57 pp. This is the second paper in a two-part series. The first paper, [also published in this journal](http://discreteanalysisjournal.com/article/2105-notes-on-nilspaces-algebraic-aspects ...
Pablo Candela
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Twisted conjugacy in soluble arithmetic groups
Mathematische Nachrichten, Volume 298, Issue 3, Page 763-793, March 2025.Abstract Reidemeister numbers of group automorphisms encode the number of twisted conjugacy classes of groups and might yield information about self‐maps of spaces related to the given objects. Here, we address a question posed by Gonçalves and Wong in the mid‐2000s: we construct an infinite series of compact connected solvmanifolds (that are not ...
Paula M. Lins de Araujo +1 more
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