Results 71 to 80 of about 1,765 (105)

Hermitian structures on six dimensional nilmanifolds

, 2004
Let (J,g) be a Hermitian structure on a compact nilmanifold M with invariant complex structure J and compatible metric g, which is not required to be invariant.
Ugarte, Luis
core   +1 more source

Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]

J Geom Anal, 2022
Haller S.
europepmc   +1 more source

Supersymmetric scale-separated AdS3 orientifold vacua of type IIB

Journal of High Energy Physics
I 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
doaj   +1 more source

Compact homogeneous Leviflat CR-manifolds. [PDF]

Complex Analysis Synerg, 2021
Al-Abdallah AR, Gilligan B.
europepmc   +1 more source

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.
openaire   +4 more sources

Sarnak's Conjecture for nilsequences on arbitrary number fields and applications

, 2019
We formulate the generalized Sarnak's M\"obius disjointness conjecture for an arbitrary number field $K$, and prove a quantitative disjointness result between polynomial nilsequences $(\Phi(g(n)\Gamma))_{n\in\mathbb{Z}^{D}}$ and aperiodic multiplicative ...
Sun, Wenbo
core  

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

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

Yet another proof of Szemeredi's theorem

, 2010
Using the density-increment strategy of Roth and Gowers, we derive Szemeredi's theorem on arithmetic progressions from the inverse conjectures GI(s) for the Gowers norms, recently established by the authors and Ziegler.Comment: 6 page note, to appear in ...
Green, Ben, Tao, Terence
core  

The Lalonde–McDuff conjecture for nilmanifolds

Differential Geometry and its Applications, 2008
We prove that any Hamiltonian bundle whose fiber is a nilmanifold c-splits.
openaire   +3 more sources