Revista de la
Unión Matemática Argentina
Real hypersurfaces in complex Grassmannians of rank two with semi-parallel structure Jacobi operator
Avik De, Tee-How Loo, and Changhwa Woo
Volume 60, no. 2 (2019), pp. 505–515    

https://doi.org/10.33044/revuma.v60n2a15

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Abstract

We prove that there does not exist any real hypersurface in complex Grassmannians of rank two with semi-parallel structure Jacobi operator. With this result, the non-existence of real hypersurfaces in complex Grassmannians of rank two with recurrent structure Jacobi operator is proved.