Results 71 to 80 of about 796 (142)

Holomorphic Poisson Cohomology

Complex Manifolds, 2015
Holomorphic Poisson structures arise naturally in the realm of generalized geometry. A holomorphic Poisson structure induces a deformation of the complex structure in a generalized sense, whose cohomology is obtained by twisting the Dolbeault @-operator ...
Chen Zhuo, Grandini Daniele, Poon Yat-Sun   +2 more
doaj   +1 more source

Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical

Mathematische Nachrichten, Volume 297, Issue 12, Page 4705-4729, December 2024.
Abstract In this paper, we study strong Kähler with torsion (SKT) and generalized Kähler structures on solvable Lie algebras with (not necessarily abelian) codimension 2 nilradical. We treat separately the case of J$J$‐invariant nilradical and non‐J$J$‐invariant nilradical. A classification of such SKT Lie algebras in dimension 6 is provided.
Beatrice Brienza, Anna Fino
wiley   +1 more source

Dirac structures on nilmanifolds and coexistence of fluxes [PDF]

, 2014
We study some aspects of the generalized geometry of nilmanifolds and examine to which extent different types of fluxes can coexist on them. Nilmanifolds constitute a class of homogeneous spaces which are interesting in string compactifications with ...
Jonke, Larisa, Lechtenfeld, Olaf, Chatzistavrakidis, Athanasios   +2 more
core   +1 more source

The Ricci flow for nilmanifolds

Journal of Modern Dynamics, 2010
We consider the Ricci flow for simply connected nilmanifolds, which translates to a Ricci flow on the space of nilpotent metric Lie algebras. We consider the evolution of the inner product and the evolution of structure constants, as well as the evolution of these quantities modulo rescaling.
openaire   +2 more sources

Structure of the Kuranishi spaces of pairs of Kähler manifolds and polystable Higgs bundles

Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3581-3600, December 2024.
Abstract Let X$X$ be a compact Kähler manifold and (E,∂¯E,θ)$(E,\overline{\partial }_E,\theta)$ be a Higgs bundle over it. We study the structure of the Kuranishi space for the pair (X,E,θ)$(X, E,\theta)$ when the Higgs bundle admits a harmonic metric or equivalently when the Higgs bundle is polystable and the Chern classes are 0.
Takashi Ono
wiley   +1 more source

Equidistribution of dilated curves on nilmanifolds

Journal of the London Mathematical Society, 2018
Generalizing classic results for a family of measures in the torus, for a family $(μ_t)_{t\geq 0}$ of measures defined on a nilmanifold $X$, we study conditions under which the family equidistributes, meaning conditions under which the measures $μ_t$ converge as $t\to\infty$ in the weak$^\ast$ topology to the Haar measure on $X$.
Bryna Kra, Nimish A. Shah, Wenbo Sun
openaire   +5 more sources

Small‐scale distribution of linear patterns of primes

Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.
Abstract Let Ψ=(ψ1,⋯,ψt):`Zd→Rt$\Psi =(\psi _1,\hdots, \psi _t):`\mathbb {Z}^d\rightarrow \mathbb {R}^t$ be a system of linear forms with finite complexity. In their seminal paper, Green and Tao showed the following prime number theorem for values of the system Ψ$\Psi$: ∑x∈[−N,N]d∏i=1t1P(ψi(x))∼(2N)d(logN)t∏pβp,$$\begin{equation*} \sum _{x\in [-N,N]^d}
Mayank Pandey, Katharine Woo
wiley   +1 more source

Inhomogeneous deformations of Einstein solvmanifolds

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract For each non‐flat, unimodular Ricci soliton solvmanifold (S0,g0)$(\mathsf {S}_0,g_0)$, we construct a one‐parameter family of complete, expanding, gradient Ricci solitons that admit a cohomogeneity one isometric action by S0$\mathsf {S}_0$. The orbits of this action are hypersurfaces homothetic to (S0,g0)$(\mathsf {S}_0,g_0)$.
Adam Thompson
wiley   +1 more source

A∞-structures for Bott-Chern and Aeppli cohomologies

Complex Manifolds
In this article, we introduce certain arity-3 operations on complex manifolds arising from homotopy transfer theory. Such operations are related to the triple ABCABC-Massey products from Bott-Chern to Aeppli cohomology. We present a package for computing
Cirici Joana, Garrido-Vilallave Roger, Sopena-Gilboy Anna   +2 more
doaj   +1 more source

Invariants of complex structures on nilmanifolds [PDF]

Archivum Mathematicum, 2015
Let $(N, J)$ be a simply connected $2n$-dimensional nilpotent Lie group endowed with an invariant complex structure. We define a left invariant Riemannian metric on $N$ compatible with $J$ to be minimal, if it minimizes the norm of the invariant part of the Ricci tensor among all compatible metrics with the same scalar curvature. In [L1], J.
openaire   +4 more sources