Abstract
In this paper, we investigate equigeodesics on a compact homogeneous space \(M=G/H.\) We introduce a formula for the identification of equigeodesic vectors only relying on the isotropy representation of M and the Lie structure of the Lie algebra of G. Applications to M-spaces are also discussed.
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Acknowledgements
Brian Grajales is supported by grant 2023/04083-0 (São Paulo Research Foundation FAPESP). Lino Grama is partially supported by FAPESP grants 2023/13131-8, 2018/13481-0. The authors thank the anonymous referee for providing numerous valuable suggestions.
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Grajales, B., Grama, L. Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands. Annali di Matematica (2024). https://doi.org/10.1007/s10231-024-01464-w
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DOI: https://doi.org/10.1007/s10231-024-01464-w