Abstract
We prove the following rigidity result: every compact three-dimensional Heterotic soliton with vanishing torsion and harmonic curvature is rigid, namely, it is an isolated point in the moduli space.
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A.M. was partly supported by the PNRR-III-C9-2023-I8 grant CF 149/31.07.2023 Conformal Aspects of Geometry and Dynamics. M.P.C. was supported by the UNED-Santander 2024 predoctoral fellowship of the Santander Open Academy Foundation. C.S.S. was partially supported by the research grant PID2023-152822NB-I00 of the Ministry of Science of the government of Spain. A.M. and C.S.S. would like to thank the Mathematisches Forschungsinstitut Oberwolfach for its hospitality and for providing a stimulating research environment.
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Moroianu, A., Carmona, M.P. & Shahbazi, C.S. Torsionless three-dimensional Heterotic solitons with harmonic curvature are rigid. Ann Glob Anal Geom 70, 18 (2026). https://doi.org/10.1007/s10455-026-10065-0
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DOI: https://doi.org/10.1007/s10455-026-10065-0