Results 1 to 10 of about 928 (130)

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   +3 more sources

Small covers, infra-solvmanifolds and curvature [PDF]

Forum Mathematicum, 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).
Shintarô Kuroki, Mikiya Masuda, Li Yu
semanticscholar   +6 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.
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Inhomogeneous deformations of Einstein solvmanifolds [PDF]

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024., 2023
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$\mathsf {S}_0$ .
Adam R. Thompson
semanticscholar   +2 more sources

An averaging formula for Nielsen numbers on infra-solvmanifolds [PDF]

Journal of Fixed Point Theory and Applications, 2022
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

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

On the rationality of the Nielsen zeta function for maps on solvmanifolds

Journal of Fixed Point Theory and Applications, 2022
In Dekimpe and Dugardein (J Fixed Point Theory Appl 17:355–370, 2015), Fel’shtyn and Lee (Topol Appl 181:62–103, 2015), the Nielsen zeta function Nf(z)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
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
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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
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Explicit soliton for the Laplacian co-flow on a solvmanifold [PDF]

São Paulo Journal of Mathematical Sciences, 2019
We apply the general Ansatz proposed by Lauret (Rend Semin Mat Torino 74:55–93, 2016 ) for the Laplacian co-flow of invariant $$\mathrm {G}_2$$ G 2 -structures on a Lie group, finding an explicit soliton on a particular almost Abelian 7–manifold.
A. J. Moreno, Henrique N. Sá Earp
semanticscholar   +2 more sources