Results 1 to 10 of about 624 (84)
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
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 +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
On Some Structural Components of Nilsolitons
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this paper, we study nilpotent Lie algebras that admit nilsoliton metric with simple pre‐Einstein derivation. Given a Lie algebra η, we would like to compute as much of its structure as possible. The structural components we consider in this study are the structure constants, the index, and the rank of the nilsoliton derivations.
Hulya Kadioglu, Mustafa Inc
wiley +1 more source
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 +1 more source
Invariant solutions to the Strominger system and the heterotic equations of motion [PDF]
, 2017 We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections $\nabla^{\varepsilon,\rho}$ in the anomaly cancellation equation.
Otal, A., Ugarte, L., Villacampa, R.
core +4 more sources
An extention of Nomizu’s Theorem –A user’s guide–
Complex Manifolds, 2016 For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ\G, C) of the solvmanifold Γ\G.
Kasuya Hisashi
doaj +1 more source
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 +3 more sources
Examples of solvmanifolds without LCK structures
Complex Manifolds, 2018 The purpose in this paper is to construct solvmanifolds without LCK structures such that the complex structure is left ...
Sawai Hiroshi
doaj +1 more source