Real hypersurfaces equipped with pseudo-parallel structure Jacobi operator in CP^2 and CH^2

TL;DR

This paper classifies real hypersurfaces in complex projective and hyperbolic planes that have a pseudo-parallel structure Jacobi operator, advancing understanding of their geometric properties.

Contribution

It provides a complete classification of such hypersurfaces in CP^2 and CH^2 with pseudo-parallel structure Jacobi operators, a novel geometric condition.

Findings

Classification of hypersurfaces in CP^2 and CH^2 with pseudo-parallel structure Jacobi operator

Identification of specific geometric structures satisfying the pseudo-parallel condition

Extension of known results in complex space forms

Abstract

We classify real hypersurfaces in CP^2and CH^2 equipped with pseudo-parallel structure Jacobi operator.