Results 41 to 50 of about 444 (112)

Hermitian structures on six-dimensional almost nilpotent solvmanifolds [PDF]

, 2023
We complete the classification of six-dimensional strongly unimodular almost nilpotent Lie algebras admitting complex structures. For several cases we describe the space of complex structures up to isomorphism.
Paradiso, Fabio, Fino, Anna
core   +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

Foliation-Preserving Maps Between Solvmanifolds [PDF]

Geometriae Dedicata, 2003
For i = 1,2, let Gamma_i be a lattice in a simply connected, solvable Lie group G_i, and let X_i be a connected Lie subgroup of G_i. The double cosets Gamma_igX_i provide a foliation F_i of the homogeneous space Gamma_i\G_i. Let f be a continuous map from Gamma_1\G_1 to Gamma_2\G_2 whose restriction to each leaf of F_1 is a covering map onto a leaf of ...
Bernstein, Holly, Morris, Dave Witte
openaire   +3 more sources

On Cohomological Decomposability of Almost-Kähler Structures [PDF]

, 2012
We study the J-invariant and J-anti-invariant cohomological subgroups of the de Rham cohomology of a compact manifold M endowed with an almost-K\"ahler structure (J, \omega, g).
Tomassini, Adriano, Zhang, Weiyi, Angella, Daniele   +2 more
core  

Isometry groups of Riemannian solvmanifolds

, 1988
A simply connected solvable Lie group R R together with a left-invariant Riemannian metric g g is called a (simply connected) Riemannian solvmanifold. Two Riemannian solvmanifolds ( R ,
Carolyn S. Gordon, Edward N. Wilson
core   +1 more source

Solvmanifolds and Generalized Kähler Structures [PDF]

, 1970
We review generalized complex geometry in relation with solvmanifolds and we describe the construction in [17] of a generalized Kähler structure on a 6-dimensional solvmanifold. The compact manifold is the total space of a 𝕋2-bundle over an Inoue
Tomassini, Adriano, Fino, Anna
core   +1 more source

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

Kähler Solvmanifolds

, 2003
Compact Kähler solvmanifolds are classified up to biholomorphism. A proof of a conjecture Benson and Gordon, that completely solvable compact Kähler solvmanifolds are tori is deduced from this. The main ingredient in the proof is a restriction theorem for polycyclic Kähler groups proved by Nori and the author.
openaire   +2 more sources

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

Lefschetz coincidence numbers of solvmanifolds with Mostow conditions [PDF]

, 2014
summary:For any two continuous maps $f$, $g$ between two solvmanifolds of the same dimension satisfying the Mostow condition, we give a technique of computation of the Lefschetz coincidence number of $f$, $g$. This result is an extension of the result of
Hisashi Kasuya, Kasuya, Hisashi
core   +1 more source