## Nihonkai Mathematical Journal

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

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

#### 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**

Received: 19 March 2016

Revised: 28 June 2016

First available in Project Euclid: 7 March 2018

**Permanent link to this document**

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

**Mathematical Reviews number (MathSciNet)**

MR3771368

**Zentralblatt MATH identifier**

06881242

**Subjects**

Primary: 53B25: Local submanifolds [See also 53C40]

Secondary: 53D15: Almost contact and almost symplectic manifolds

**Keywords**

almost contact manifold Jacobi structure operator

#### 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