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Homogeneous affine surfaces: affine Killing vector fields and Gradient Ricci solitons

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 نشر من قبل Miguel Brozos-V\\'azquez
 تاريخ النشر 2015
  مجال البحث
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The homogeneous affine surfaces have been classified by Opozda. They may be grouped into 3 families, which are not disjoint. The connections which arise as the Levi-Civita connection of a surface with a metric of constant Gauss curvature form one family; there are, however, two other families. For a surface in one of these other two families, we examine the Lie algebra of affine Killing vector fields and we give a complete classification of the homogeneous affine gradient Ricci solitons. The rank of the Ricci tensor plays a central role in our analysis.



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