Results 1 to 10 of about 1,464 (107)

Inhomogeneous deformations of Einstein solvmanifolds [PDF]

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024., 2023
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   +2 more sources

Explicit Soliton for the Laplacian Co-Flow on a Solvmanifold [PDF]

São Paulo Journal of Mathematical Sciences, 2019
We apply the general Ansatz in geometric flows on homogeneous spaces proposed by Jorge Lauret for the Laplacian co-flow of invariant $G_2$-structures on a Lie group, finding an explicit soliton on a particular almost Abelian $7$-manifold.Comment: Minor ...
Earp, Henrique N. Sá, Moreno, Andrés J.   +1 more
core   +3 more sources

On LCK solvmanifolds with a property of Vaisman solvmanifolds

Complex Manifolds, 2022
The purpose in this paper is to determine a locally conformal Kähler solvmanifold such that the nilradical of the solvable Lie group is constructed by a Heisenberg Lie group.
Sawai Hiroshi
doaj   +2 more sources

Small covers, infra-solvmanifolds and curvature [PDF]

, 2014
It is shown that a small cover (resp. real moment-angle manifold) over a simple polytope is an infra-solvmanifold if and only if it is diffeomorphic to a real Bott manifold (resp. flat torus).
Shintaro Kuroki, Mikiya Masuda, Li Yu
openalex   +3 more sources

Example of a six-dimensional LCK solvmanifold

Complex Manifolds, 2017
The purpose of this paper is to prove that there exists a lattice on a certain solvable Lie group and construct a six-dimensional locally conformal Kähler solvmanifold with non-parallel Lee form.
Sawai Hiroshi
doaj   +2 more sources

An Averaging Formula for Nielsen numbers on Infra-Solvmanifolds [PDF]

Journal of Fixed Point Theory and Applications, 2020
Until now only for special classes of infra-solvmanifolds, namely, infra-nilmanifolds and infra-solvmanifolds of type ( R ), there was a formula available for computing the Nielsen number of a self-map on those manifolds.
Karel Dekimpe, Iris Van den Bussche
openalex   +3 more sources

On line bundles arising from the LCK structure over locally conformal Kähler solvmanifolds

Complex Manifolds
We can construct a real line bundle arising from the locally conformal Kähler (LCK) structure over an LCK manifold. We study the properties of this line bundle over an LCK solvmanifold whose complex structure is left-invariant. Mainly, we prove that this
Yamada Takumi
doaj   +2 more sources

Locally conformally Kähler solvmanifolds: a survey [PDF]

Complex Manifolds, 2019
A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results ...
Andrada A., Origlia M.
doaj   +2 more sources

New supersymmetric vacua on solvmanifolds [PDF]

, 2016
We obtain new supersymmetric flux vacua of type II supergravities on four-dimensional Minkowski times six-dimensional solvmanifolds. The orientifold O4, O5, O6, O7, or O8-planes and D-branes are localized. All vacua are in addition not T-dual to a vacuum
Andriot, David
core   +4 more sources

Einstein solvmanifolds: existence and non-existence questions [PDF]

, 2010
The general aim of this paper is to study which are the solvable Lie groups admitting an Einstein left invariant metric. The space N of all nilpotent Lie brackets on R^n parametrizes a set of (n+1)-dimensional rank-one solvmanifolds, containing the set ...
Lauret, Jorge, Will, Cynthia
core   +2 more sources