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.
基金National Natural Science Foundation of China(Grant Nos.11571182,11901300 and 11931009)Natural Science Foundation of Tianjin(Grant No.19JCYBJC30600)Natural Science Foundation of the Jiangsu Higher Education Institutions of China(Grant No.19KJB110015)。
文摘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.
