## Nihonkai Mathematical Journal

### Real hypersufraces of non-flat complex hyperbolic planes whose Jacobi structure operator satisfies a generalized commutative condition

Theoharis Theofanidis

#### Abstract

Real hypersurfaces satisfying the condition $\phi l = l \phi$, $(l = R( . , \xi)\xi)$, have been studied by many authors under at least one more condition, since the class of these hypersurfaces is quite tough to be classified. The aim of the present paper is the classification of real hypersurfaces in complex hyperbolic plane $\mathbb{C}H^{2}$ satisfying a generalization of $\phi l = l \phi$ under an additional restriction on a specific function.

#### Article information

Source
Nihonkai Math. J., Volume 28, Number 1 (2017), 55-64.

Dates
Revised: 28 June 2016
First available in Project Euclid: 7 March 2018

https://projecteuclid.org/euclid.nihmj/1520391683

Mathematical Reviews number (MathSciNet)
MR3771368

Zentralblatt MATH identifier
06881242

Subjects
Secondary: 53D15: Almost contact and almost symplectic manifolds

#### Citation

Theofanidis, Theoharis. Real hypersufraces of non-flat complex hyperbolic planes whose Jacobi structure operator satisfies a generalized commutative condition. Nihonkai Math. J. 28 (2017), no. 1, 55--64. https://projecteuclid.org/euclid.nihmj/1520391683

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