Results 1 to 10 of about 643 (100)
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.
Hiroshi Sawai
exaly +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.
Hiroshi Sawai
exaly +3 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.
Hisashi Kasuya
exaly +3 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 +5 more sources
A non-Sasakian Lefschetz K-contact manifold of Tievsky type [PDF]
, 2016 We find a family of five dimensional completely solvable compact manifolds that constitute the first examples of $K$-contact manifolds which satisfy the Hard Lefschetz Theorem and have a model of Tievsky type just as Sasakian manifolds but do not admit ...
Cappelletti-Montano, Beniamino +3 more
core +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 +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
Non-formal co-symplectic manifolds [PDF]
, 2014 We study the formality of the mapping torus of an orientation-preserving diffeomorphism of a manifold. In particular, we give conditions under which a mapping torus has a non-zero Massey product.
Bazzoni, Giovanni +2 more
core +2 more sources
Ricci Nilsoliton Black Holes [PDF]
, 2008 We follow a constructive approach and find higher-dimensional black holes with Ricci nilsoliton horizons. The spacetimes are solutions to Einstein's equation with a negative cosmological constant and generalises therefore, anti-de Sitter black hole ...
Aebischer +35 more
core +5 more sources
Six dimensional solvmanifolds with holomorphically trivial canonical bundle [PDF]
, 2015 We determine the 6-dimensional solvmanifolds admitting an invariant complex structure with holomorphically trivial canonical bundle. Such complex structures are classified up to isomorphism, and the existence of strong K\"ahler with torsion (SKT ...
Fino, Anna, Otal, Antonio, Ugarte, Luis
core +4 more sources