Results 11 to 20 of about 1,044 (116)

Cohomologies of deformations of solvmanifolds and closedness of some properties [PDF]

, 2013
We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes.
Daniele Angella, Hisashi Kasuya
openalex   +4 more sources

Explicit soliton for the Laplacian co-flow on a solvmanifold

, 2019
We apply the general Ansatz in geometric flows on homogeneous spaces proposed by Jorge Lauret for the Laplacian co-flow of invariant $G_2$-structures on a Lie group, finding an explicit soliton on a particular almost Abelian $7$-manifold.Comment: Minor ...
Andrés J. Moreno, Henrique N. Sá Earp
openalex   +3 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 ...
Angella, Daniele, Kasuya, Hisashi
core   +4 more sources

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   +2 more sources

On the de Rham cohomology of solvmanifolds

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009
By using results by D. Witte on the superigidity of lattices in solvable Lie groups we get a different proof of a recent remarkable result obtained by D. Guan on the de Rham cohomology of a compact solvmanifold, i.e. of a quotient of a connected and simply connected solvable Lie group $G$ by a lattice $ $.
Sergio Console, Anna Fino
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The Ricci pinching functional on solvmanifolds [PDF]

The Quarterly Journal of Mathematics, 2019
AbstractWe study the natural functional $F=\frac {\operatorname {scal}^2}{|\operatorname {Ric}|^2}$ on the space of all non-flat left-invariant metrics on all solvable Lie groups of a given dimension $n$. As an application of properties of the beta operator, we obtain that solvsolitons are the only global maxima of $F$ restricted to the set of all left-
Jorge Lauret, Cynthia Will
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Uniform distribution in solvmanifolds

Advances in Mathematics, 1971
L. Auslander, Jonathan Brezin
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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.
Jonathan Brezin
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Global Regularity on 3-Dimensional Solvmanifolds [PDF]

Transactions of the American Mathematical Society, 1992
Let M M be any 3 3 -dimensional (nonabelian) compact solvmanifold. We apply the methods of representation theory to study the convergence of Fourier series of smooth global solutions to first order invariant partial differential equations D f = g Df = g in
Jacek M. Cygan, Leonard F. Richardson
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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   +5 more sources