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Ricci Solitons and Geometry of Four-dimensional Non-reductive Homogeneous Spaces

  • Giovanni Calvaruso (a1) and Anna Fino (a2)
Abstract

We study the geometry of non-reductive 4-dimensional homogeneous spaces. In particular, after describing their Levi-Civita connection and curvature properties, we classify homogeneous Ricci solitons on these spaces, proving the existence of shrinking, expanding and steady examples. For all the non-trivial examples we find, the Ricci operator is diagonalizable.

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References
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Canadian Journal of Mathematics
  • ISSN: 0008-414X
  • EISSN: 1496-4279
  • URL: /core/journals/canadian-journal-of-mathematics
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