Results 51 to 60 of about 796 (142)
Ricci-flat and Einstein pseudoriemannian nilmanifolds
Complex Manifolds, 2019 This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
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On the integral simplicial volume of cyclic covers of mapping tori
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti +1 more
wiley +1 more source
Cohomologies of generalized-complex manifolds and nilmanifolds [PDF]
, 2016 . We provide tools in order to compute the generalized-complex cohomologies of a generalized-complex manifold.
Daniele Angella +3 more
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Spectral theory of a class of nilmanifolds attached to Clifford modules
, 2021 We determine the spectrum of the sub-Laplacian on pseudo H-type nilmanifolds and present pairs of isospectral but non-homeomorphic nilmanifolds with respect to the sub-Laplacian.
Bauer, Wolfram +3 more
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Almost Hermitian Geometry on Six Dimensional Nilmanifolds [PDF]
, 2000 The fundamental 2-form of an invariant almost Hermitian structure on a 6-dimensional Lie group is described in terms of an action by SO(4)xU(1) on complex projective 3-space.
Abbena, E. +2 more
core +6 more sources
Periodic points on nilmanifolds and solvmanifolds [PDF]
Pacific Journal of Mathematics, 1994 Let \(M\) be a compact manifold and \(f:M \to M\) a self map on \(M\). For any natural number \(n\), the \(n\)-th iterate of \(f\) is the \(n\)-fold composition \(f^ n:M \to M\). The fixed point set of \(f\) is \(\text{fix} (f)=\{x \in M:f(x)=x\}\). We say that \(x \in M\) is a periodic point of \(f\) is \(x\) is a fixed point of some \(f^ n\) and we ...
openaire +3 more sources
Quantitative asymptotics for polynomial patterns in the primes
Mathematika, Volume 72, Issue 3, July 2026.Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen +2 more
wiley +1 more source
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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Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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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.
openaire +3 more sources