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Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces

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Abstract

In this paper, we focus on homogeneous spaces which are constructed from two strongly isotropy irreducible spaces, and prove that any geodesic orbit metric on these spaces is naturally reductive.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 11571182, 11901300 and 11931009), Natural Science Foundation of Tianjin (Grant No. 19JCYBJC30600) and Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 19KJB110015). The first author also thanks Professor Yuriĭ Gennadievich Nikonorov and Yuri Nikolayevsky for helpful discussions during their visit at Chern Institute of Mathematics via the Visiting Scholar Program of Chern Institute of Mathematics.

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Authors and Affiliations

  1. School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China

    Huibin Chen

  2. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, China

    Zhiqi Chen

  3. Department of Mathematics, Nanjing University, Nanjing, 210023, China

    Fuhai Zhu

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  1. Huibin Chen
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  2. Zhiqi Chen
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  3. Fuhai Zhu
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Correspondence to Fuhai Zhu.

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Chen, H., Chen, Z. & Zhu, F. Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces. Sci. China Math. 64, 2313–2326 (2021). https://doi.org/10.1007/s11425-020-1818-y

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