Results 1 to 10 of about 399 (63)

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   +2 more sources

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   +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

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

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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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   +1 more source

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
doaj   +1 more source

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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Remarks on Some Compact Symplectic Solvmanifolds [PDF]

, 2023
Qiang Tan, Адриано Томассини   +1 more
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Pseudo-Kähler and pseudo-Sasaki structures on Einstein solvmanifolds [PDF]

, 2023
Diego Conti, Federico A. Rossi, Romeo Segnan Dalmasso   +2 more
openalex   +1 more source