Results 1 to 10 of about 85 (77)

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

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

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

Function theory on metabelian solvmanifold

Journal of Functional Analysis, 1972
AbstractThe Laplace operators for metabelian solvmanifolds are used to describe certain spaces of C∞ functions on metabelian solvmanifolds of interest in harmonic analysis.
exaly   +3 more sources

Indefinite Nilsolitons and Einstein Solvmanifolds [PDF]

The Journal of Geometric Analysis, 2022
v2: Presentation improved, bibliography expanded and updated, two missing entries added in Proposition 2.7 and Table 1, Examples 4.11 and 4.19 corrected.
Conti D., Rossi F. A.
openaire   +6 more sources

Kahler Structures on Compact Solvmanifolds [PDF]

Proceedings of the American Mathematical Society, 1990
In a previous paper, the authors proved that the only compact nilmanifolds Γ
Chal Benson, Carolyn S. Gordon
openaire   +2 more sources

$$G_2$$-structures on flat solvmanifolds

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022
19 pages, 2 ...
openaire   +2 more sources

The Anosov theorem for exponential solvmanifolds [PDF]

Pacific Journal of Mathematics, 1995
The authors exhibit a class \({\mathcal N} {\mathcal R}\) of compact solvmanifolds such that for any \(S \in {\mathcal N} {\mathcal R}\) and any selfmap \(f : S \to S\) the Nielsen number \(N(f)\) equals the absolute value \(|L(f) |\) of the Lefschetz number.
Keppelmann, Edward C., McCord, Christopher K.   +1 more
openaire   +2 more sources

Bott–Chern cohomology of solvmanifolds [PDF]

Annals of Global Analysis and Geometry, 2017
We study conditions under which sub-complexes of a double complex of vector spaces allow to compute the Bott-Chern cohomology. We are especially aimed at studying the Bott-Chern cohomology of special classes of solvmanifolds, namely, complex parallelizable solvmanifolds and solvmanifolds of splitting type.
Angella, Daniele, Kasuya, Hisashi
openaire   +2 more sources