Immersions of Sasaki-Ricci solitons into homogeneous Sasakian manifolds (Q6183507)

This paper is focused on the study of SRS solitons (Sasaki-Ricci solitons). Sasaki-Ricci solitons can be regarded as special solutions of the Sasaki-Ricci flow. They are related with Kähler-Ricci solitons (KRS for short) in view of the analogy between Sasakian and Kähler geometry. The authors investigate local Sasakian immersions of SRS solitons into fiber products of homogeneous Sasakian manifolds. They prove that SRS solitons are locally induced by a large class of fiber products of homogeneous Sasakian manifolds and they are \(\eta\)-Einstein. The results are stronger for immersions into Sasakian space forms. Section 2 ``Kähler and Sasaki-Ricci solitons'' constructs three important examples illustrating the theory presented in the paper. The first example is an SRS-gradient on \(\mathbb{R}^{3}\), entitled Sasakian cigar metric, it presentesthe link with one KRS soliton with respect to a special function.