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http://dx.doi.org/10.4134/JKMS.j200134

KILLING STRUCTURE JACOBI OPERATOR OF A REAL HYPERSURFACE IN A COMPLEX PROJECTIVE SPACE  

Perez, Juan de Dios (Departamento de Geometria y Topologia Universidad de Granada)
Publication Information
Journal of the Korean Mathematical Society / v.58, no.2, 2021 , pp. 473-486 More about this Journal
Abstract
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;
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