Results 71 to 80 of about 1,532 (136)
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
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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
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Isometry groups of Riemannian solvmanifolds
Transactions of the American Mathematical Society, 1988 A simply connected solvable Lie group R R together with a left-invariant Riemannian metric g g is called a (simply connected) Riemannian solvmanifold. Two Riemannian solvmanifolds ( R , g ) (R,\,g) and ( R ′
Carolyn S. Gordon, Edward N. Wilson
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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.
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Some Compact Solvmanifolds and Locally Affine Spaces [PDF]
, 1958 Louis Auslander
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Bulletin of the American Mathematical Society, 1963 Auslander, L., Green, L.
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Discrete transformations on tori and flows on solvmanifolds [PDF]
, 1962 L. Auslander, F. Hahn
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The Ricci flow in a class of solvmanifolds
Differential Geometry and its Applications, 2013 16 pages, 1 ...
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