The Cauchy Problem for Gradient Generalized Ricci Solitons on a Bundle Gerbe
Abstract 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.
Authors
- Severin Bunk (ORCID: https://orcid.org/0000-0003-4766-7008)
- C. S. Shahbazi (ORCID: https://orcid.org/0000-0003-1185-9569)
- Miguel Pino Carmona
Institutions
- University of Hertfordshire (GB)
- Universidad Nacional de Educación a Distancia (ES)
Publication Details
- Journal
- Journal of Geometric Analysis
- Published
- 2026-07-24
- DOI
- https://doi.org/10.1007/s12220-026-02525-7
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundación BBVA
- Fundación Banco Santander
- Banco Bilbao Vizcaya Argentaria
- Universidad Nacional de Educación a Distancia