A complete classification of Ricci and Yamabe solitons of non-reductive homogeneous 4-spaces

作者：Calvaruso Giovanni^*; Zaeim Amirhesam

来源：Journal of Geometry and Physics, 2014, 80: 15-25.

DOI：10.1016/j.geomphys.2014.02.007

• Ricci solitons
• Yamabe solitons
• Non-reductive homogeneous pseudo-Riemannian manifolds

Using an explicit description in global coordinates of invariant metrics of four-dimensional homogeneous pseudo-Riemannian manifolds, we completely classify all examples of Ricci solitons among these metrics. Yamabe solitons are also completely classified.

• 出版日期2014-6