Tohoku Mathematical Journal
2021

June
SECOND SERIES VOL. 73, NO. 2

Tohoku Math. J.
73 (2021), 289-316

Title BICONFORMAL EQUIVALENCE BETWEEN 3-DIMENSIONAL RICCI SOLITONS

Author Paul Baird and Elsa Ghandour

(Received December 20, 2019)
Abstract. Biconformal deformations in the presence of a conformal foliation by curves are exploited to study equivalence between 3-dimensional Ricci solitons. We show that a wide class of solitons are biconformally equivalent to the flat metric.

Mathematics Subject Classification. Primary 53C44; Secondary 35C08.

Key words and phrases. Ricci solitons, semi-conformal mapping, biconformal deformation.

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