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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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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
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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
David Andriot, David Andriot
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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.
Hisashi Kasuya
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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
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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.
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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
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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
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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
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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
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