On the equivalence of generalized Ricci curvatures
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- by Gil R. Cavalcanti, Jaime Pedregal and Roberto Rubio;
- Proc. Amer. Math. Soc. 153 (2025), 2639-2648
- DOI: https://doi.org/10.1090/proc/17165
- Published electronically: March 24, 2025
Abstract:
We prove the equivalence between the several notions of generalized Ricci curvature found in the literature. As an application, we characterize when the total generalized Ricci tensor is symmetric.References
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Bibliographic Information
- Gil R. Cavalcanti
- Affiliation: Department of Mathematics, Utrecht University, 3508 TA Utrecht, The Netherlands
- MR Author ID: 757552
- ORCID: 0000-0002-4089-7460
- Email: g.r.cavalcanti@uu.nl
- Jaime Pedregal
- Affiliation: Department of Mathematics, Utrecht University, 3508 TA Utrecht, The Netherlands
- Email: j.pedregalpastor@uu.nl
- Roberto Rubio
- Affiliation: Universitat Autònoma de Barcelona, 08193 Barcelona, Spain
- MR Author ID: 1032228
- ORCID: 0000-0003-1645-1722
- Email: roberto.rubio@uab.es
- Received by editor(s): September 16, 2024
- Received by editor(s) in revised form: November 5, 2024
- Published electronically: March 24, 2025
- Additional Notes: This project was supported by FEDER/AEI/MICINN through the grant PID2022-137667NA-I00 (GENTLE). The first and second authors were also supported by the Open Competition grant number OCENW.M.22.264 from NWO, and the third author by AGAUR under 2021-SGR-01015 and by FEDER/AEI/MICINN under RYC2020-030114-I
- Communicated by: Jiaping Wang
- © Copyright 2025 by the authors
- Journal: Proc. Amer. Math. Soc. 153 (2025), 2639-2648
- MSC (2020): Primary 53D18; Secondary 53Z05
- DOI: https://doi.org/10.1090/proc/17165