Results 61 to 70 of about 168 (112)

Classification, Cobordism, and Curvature of Four-Dimensional Infra-Solvmanifolds [PDF]

, 2014
Crystallographic groups of solvable Lie groups generalize the crystallographic groups of Euclidean space. The quotient of a solvable Lie group G by the action of a torsion-free crystallographic group of G is an infra-solvmanifold of G.
Thuong, Scott Van
core  

A note on $p$-K\"ahler structures on compact quotients of Lie groups [PDF]

A $p$-K\"ahler structure on a complex manifold of complex dimension $n$ is given by a $d$-closed transverse real $(p,p)$-form. In the paper we study the existence of $p$-K\"ahler structures on compact quotients of simply connected Lie groups by discrete ...
Fino, A., Mainenti, A., Mainenti, Asia, Fino, Anna   +3 more
core   +1 more source

The mean curvature flow on solvmanifolds

Boletín de la Sociedad Matemática Mexicana
This work is a survey of the most relevant background material to motivate and understand the construction and classification of translating solutions to mean curvature flow on a family of solvmanifolds. We introduce the mean curvature flow and some known results in the field.
Romina M. Arroyo, Gabriela P. Ovando, Raquel Perales, Mariel Sáez   +3 more
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Einstein solvmanifolds are standard [PDF]

Annals of Mathematics, 2010
We study Einstein manifolds admitting a transitive solvable Lie group of isometries (solvmanifolds). It is conjectured that these exhaust the class of noncompact homogeneous Einstein manifolds. J. Heber has showed that under certain simple algebraic condition called standard (i.e.
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
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Filiform nilsolitons of dimension 8

, 2011
A Riemannian manifold (M, g) is said to be Einstein if its Ricci tensor satisfies ric (g) = cg, for some c is an element of R. In the homogeneous case, a problem that is still open is the so-called Alekseevskii conjecture.
Romina M. Arroyo, Arroyo, Romina M.
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

Non-Kaehler solvmanifolds with generalized Kaehler structure

, 2009
We construct a compact 6-dimensional solvmanifold endowed with a non-trivial invariant generalized Kähler structure and which does not admit any Kähler metric.
TOMASSINI, Adriano, A. Fino
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Flows on solvmanifolds [PDF]

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