https://neckpinch.com/authors/miguel-pino-carmona/New arXiv papers by Miguel Pino Carmona, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2606.03983/arxiv:2606.03983Tue, 02 Jun 2026 00:00:00 GMTMiguel Pino Carmona — We construct an explicit two-parameter family of complete, non-compact, three-dimensional, smooth steady gradient generalized Ricci solitons with SO(2)×ℝ symmetry, providing a cylindrical counterpart to the spherically symmetric solitons recently found by Podestà and Raffero. The family is parametrized by a flux constant k>0 and a conserved quantity 𝓒≥ 0. For 𝓒=0, the asymptotic geometry exhibits power-law decay; for 𝓒>0, the metric converges exponentially fast to a flat cylinder of finite radius.Generalized & G₂ flowsRicci solitons3-manifoldsBoundaries & non-compactLong-time existence & convergenceRotational symmetry & warped products https://neckpinch.com/papers/2510.25888/arxiv:2510.25888Wed, 29 Oct 2025 00:00:00 GMTSeverin Bunk, Miguel Pino Carmona, C. S. Shahbazi — We prove well-posedness of the analytic Cauchy problem for gradient generalized Ricci solitons on an abelian bundle gerbe and solve the initial data equations on every compact Riemann surface. Along the way, we provide a novel characterization of the self-similar solutions of the generalized Ricci flow by means of families of automorphisms of the underlying abelian bundle gerbe covering families of diffeomorphisms isotopic to the identity.Ricci flowGeneralized & G₂ flowsRicci solitonsSurfaces