Results 71 to 80 of about 1,537 (138)
$$G_2$$-structures on flat solvmanifolds
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022 19 pages, 2 ...
openaire +2 more sources
Geometrical formality of solvmanifolds and solvable Lie type geometries [PDF]
, 2012 We show that for a Lie group $G=\R^{n}\ltimes_{\phi} \R^{m}$ with a semisimple action $\phi$ which has a cocompact discrete subgroup $\Gamma$, the solvmanifold $G/\Gamma$ admits a canonical invariant formal (i.e.
Kasuya, Hisashi
core
On geometric aspects of diffuse groups [PDF]
, 2014 Bowditch introduced the notion of diffuse groups as a geometric variation of the unique product property. We elaborate on various examples and non-examples, keeping the geometric point of view from Bowditch's paper.
Dunfield, Nathan +2 more
core
Maximal symmetry and unimodular solvmanifolds [PDF]
Pacific Journal of Mathematics, 2019 Recently, it was shown that Einstein solvmanifolds have maximal symmetry in the sense that their isometry groups contain the isometry groups of any other left-invariant metric on the given Lie group. Such a solvable Lie group is necessarily non-unimodular.
openaire +4 more sources
Some Compact Solvmanifolds and Locally Affine Spaces [PDF]
, 1958 Louis Auslander
openalex +1 more source
Bulletin of the American Mathematical Society, 1963 Auslander, L., Green, L.
openaire +2 more sources
Discrete transformations on tori and flows on solvmanifolds [PDF]
, 1962 L. Auslander, F. Hahn
openalex +1 more source
Einstein solvmanifolds and nilsolitons
, 2008 The purpose of the present expository paper is to give an account of the recent progress and present status of the classification of solvable Lie groups admitting an Einstein left invariant Riemannian metric, the only known examples so far of noncompact Einstein homogeneous manifolds.
openaire +2 more sources