Results 61 to 70 of about 163 (116)
The Frölicher Spectral Sequence of Certain Solvmanifolds [PDF]
The Journal of Geometric Analysis, 2013 To appear in J.
openaire +2 more sources
On the "Standard" Condition for Noncompact Homogeneous Einstein Spaces
, 2007 A nonflat Einstein solvmanifold (S, g) is said to be of standard type if in the associated metric Lie algebra s, the orthogonal complement a of the derived algebra is abelian.
Dorothee Schueth
core
Explicit soliton for the laplacian co-flow on a solvmanifold
, 2020 We apply the general Ansatz proposed by Lauret (Rend Semin Mat Torino 74:55–93, 2016) 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. Our methods and the example
Earp, Henrique N. Sá +1 more
core +1 more source
Ricci soliton solvmanifolds [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2011 18 pages, to appear in Crelle's ...
openaire +3 more sources
Bott-Chern cohomology of solvmanifolds [PDF]
, 2012 We study conditions under which sub-complexes of a double complex of vector spaces allow to compute the Bott-Chern cohomology.
Daniele Angella +3 more
core
Bulletin of the American Mathematical Society, 1963 Auslander, L., Green, L.
openaire +2 more sources
A note on compact solvmanifolds with Kaehler structures
Osaka Journal of Mathematics, 2004 A solvmanifold is a compact differentiable manifold M on which a connected solvable Lie group G acts transitively. As the main result, we will see, applying a result of Arapura and Nori on solvable Kaehler groups and some of the author's previous results, that a compact solvmanifold admits a Kaehler structure if and only if it is a finite quotient of a
openaire +4 more sources
Solvmanifolds and noncommutative tori with real multiplication [PDF]
, 2007 We prove that the Shimizu L-function of a real quadratic field is obtained from a (Lorentzian) spectral triple on a noncommutative torus with real multiplication, as an adiabatic limit of the Dirac operator on a 3-dimensional solvmanifold.
Marcolli, Matilde
core
Odd-dimensional solvmanifolds are contact [PDF]
Bourgeois proved in [5] that odd-dimensional tori admit a contact structure. We shall prove a more general result: Any odd-dimensional parallelisable closed manifold admits a contact structure.
Bock, Christoph
core