We prove the existence of a one-parameter family of pairwise non-isometric, complete, positively curved, steady generalized Ricci solitons of gradient type on R3 that are invariant under the natural cohomogeneity one action of SO(3). In the context of generalized Ricci flow, this result represents the analogue of Bryant’s construction of the complete rotationally invariant steady soliton for the Ricci flow.
Three-dimensional positively curved generalized Ricci solitons with SO(3)-symmetries / Fabio Podesta'; Alberto Raffero. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 479:(2025), pp. 110426.00-110426.00. [10.1016/j.aim.2025.110426]
Three-dimensional positively curved generalized Ricci solitons with SO(3)-symmetries
Fabio Podesta';
2025
Abstract
We prove the existence of a one-parameter family of pairwise non-isometric, complete, positively curved, steady generalized Ricci solitons of gradient type on R3 that are invariant under the natural cohomogeneity one action of SO(3). In the context of generalized Ricci flow, this result represents the analogue of Bryant’s construction of the complete rotationally invariant steady soliton for the Ricci flow.
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Podesta Raffero GRS final.pdf
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1-s2.0-S000187082500324X-main.pdf
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919.27 kB | Adobe PDF |
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