Results 81 to 90 of about 1,532 (136)
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.
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Einstein solvmanifolds with free nilradical [PDF]
Annals of Global Analysis and Geometry, 2007 14 pages, changes to introduction, one reference added, small changes to the text and to the ...
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Complex and Kähler structures on Compact Solvmanifolds [PDF]
, 2005 Keizo Hasegawa
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The mean curvature flow on solvmanifolds
Boletín de la Sociedad Matemática MexicanaThis 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 +3 more
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The structure of a solvmanifold's Heegaard splittings
, 1998 We classify isotopy classes of irreducible Heegaard splittings of solvmanifolds. If the monodromy of the solvmanifold can be expressed as a 2 x 2 matrix with 0 in the lower right hand corner (as always is true when the absolute value of the trace is 3), then any irreducible splitting is strongly irreducible and of genus two. If furthermore the absolute
Cooper, Daryl, Scharlemann, Martin
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Euclidean fiberings of solvmanifolds [PDF]
Pacific Journal of Mathematics, 1965 openaire +2 more sources
Collapsing, solvmanifolds and infrahomogeneous spaces
Differential Geometry and its Applications, 1997 When phrased in terms of Hausdorff convergence, M. Gromov's almost flat manifold theorem states that if a compact manifold \(M\) admits a bounded curvature collapse to a point, then a finite cover of \(M\) is necessarily diffeomorphic to a nilmanifold. It is then tempting to ask whether the prescription of more general Hausdorff limits will still place
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Parabolic subgroups of semisimple Lie groups and Einstein solvmanifolds [PDF]
, 2010 Hiroshi Tamaru
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