Kenmotsu 3-metric as a Ricci soliton. (English) Zbl 1273.37040
The main result of this note is the proof of two facts about Ricci solitons in three-dimensional Kenmotsu manifolds: (i) they are expanding, (ii) they have constant curvature \(+1\). The first part appears as Proposition 3.3 in [the reviewer and M. Crasmareanu, Bull. Malays. Math. Sci. Soc. (2) 33, No. 3, 361–368 (2010; Zbl 1204.53024)].
Reviewer: Constantin Călin (Iaşi)
MSC:
| 37K40 | Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems |
| 53C44 | Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010) |
Citations:
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