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J. Korean Math. Soc. 2021; 58(2): 473-486
Online first article September 23, 2020 Printed March 1, 2021
https://doi.org/10.4134/JKMS.j200134
Copyright © The Korean Mathematical Society.
Killing structure Jacobi operator of a real hypersurface in a complex projective space
Juan de Dios P\'{e}rez
Universidad de Granada
We prove non-existence of real hypersurfaces with Killing structure Jacobi operator in complex projective spaces. We also classify real hypersurfaces in complex projective spaces whose structure Jacobi operator is Killing with respect to the $k$-th generalized Tanaka-Webster connection.
Keywords: g-Tanaka-Webster connection, complex projective space, real hypersurface, Killing structure Jacobi operator
MSC numbers: 53C15, 53B25
Supported by: This work was supported by MINECO-FEDER Project MTM 2016-78807-C2-1-P
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