https://neckpinch.com/authors/fabio-podesta/New arXiv papers by Fabio Podestà, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2401.05028/arxiv:2401.05028Wed, 10 Jan 2024 00:00:00 GMTFabio Podestà, Alberto Raffero — 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.Ricci flowGeneralized & G₂ flowsRicci solitons3-manifoldsHomogeneous spacesRotational symmetry & warped products https://neckpinch.com/papers/2202.00417/arxiv:2202.00417Tue, 01 Feb 2022 00:00:00 GMTFabio Podestà, Alberto Raffero — We construct examples of compact homogeneous Riemannian manifolds admitting an invariant Bismut connection that is Ricci flat and non-flat, proving in this way that the generalized Alekseevsky-Kimelfeld theorem does not hold. The classification of compact homogeneous Bismut Ricci flat spaces in dimension 5 is also provided. Moreover, we investigate compact homogeneous spaces with non trivial third Betti number, and we point out other possible ways to construct Bismut Ricci flat manifolds. Finally, since Bismut Ricci flat connections correspond to fixed points of the generalized Ricci flow, we discuss the stability of some of our examples under the flow.Ricci flowGeneralized & G₂ flowsRicci-flat & Calabi–YauHomogeneous spacesStability & uniqueness