Results 1 to 10 of about 1,537 (138)

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

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   +4 more sources

Flat bundles and Hyper-Hodge decomposition on solvmanifolds [PDF]

, 2014
We study rank $1$ flat bundles over solvmanifolds whose cohomologies are non-trivial. By using Hodge theoretical properties for all topologically trivial rank $1$ flat bundles, we represent the structure theorem of K\"ahler solvmanifolds as extensions of
Kasuya, Hisashi
core   +2 more sources

Cohomologies of deformations of solvmanifolds and closedness of some properties [PDF]

, 2017
We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes.
Angella, Daniele, Kasuya, Hisashi
core   +3 more sources

Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds [PDF]

, 2012
We prove the non-existence of Vaisman metrics on some solvmanifolds with left-invariant complex structures. By this theorem, we show that Oeljeklaus-Toma manifolds does not admit Vaisman metrics.Comment: 12 page.
Kasuya, Hisashi
core   +2 more sources

Lattices, cohomology and models of six dimensional almost abelian solvmanifolds

, 2012
We construct lattices on six dimensional not completely solvable almost abelian Lie groups, for which the Mostow condition does not hold. For the corresponding compact quotients, we compute the de Rham cohomology (which does not agree in general with the
Console, Sergio, Macrì, Maura
core   +3 more sources

Modification and the cohomology groups of compact solvmanifolds Ⅱ

Electronic Research Archive
In this article, we refine the modification theorem for a compact solvmanifold given in 2006 and completely solve the problem of finding the cohomology ring on compact solvmanifolds.
Daniel Guan
doaj   +2 more sources

A compact non‐formal closed G2 manifold with b1=1$b_1=1$

Mathematische Nachrichten, Volume 295, Issue 8, Page 1562-1590, August 2022., 2022
Abstract We construct a compact manifold with a closed G2 structure not admitting any torsion‐free G2 structure, which is non‐formal and has first Betti number b1=1$b_1=1$. We develop a method of resolution for orbifolds that arise as a quotient M/Z2$M/{{\mathbb {Z}}_2}$ with M a closed G2 manifold under the assumption that the singular locus carries a
Lucía Martín‐Merchán
wiley   +1 more source

Dold sequences, periodic points, and dynamics

Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021
Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski, Grzegorz Graff, Thomas Ward   +2 more
wiley   +1 more source

Tachyonic de Sitter Solutions of 10d Type II Supergravities

Fortschritte der Physik, Volume 69, Issue 7, July 2021., 2021
Abstract Cosmological models of the early or late universe exhibit (quasi) de Sitter space‐times with different stability properties. Considering models derived from string theory, the swampland program does not provide for now a definite characterisation of this stability.
David Andriot
wiley   +1 more source