On the curvature properties of real time-like hypersurfaces of Kaehler manifolds with Norden metric

TL;DR

This paper investigates the curvature properties of real time-like hypersurfaces within Kaehler manifolds equipped with Norden metrics, focusing on curvature tensors, sectional curvatures, and canonical connections.

Contribution

It characterizes the curvature tensor and sectional curvatures of these hypersurfaces and analyzes the canonical connection and curvature properties in the main integrable class.

Findings

Characterization of the curvature tensor for hypersurfaces

Description of special sectional curvatures

Analysis of the canonical connection and curvature properties

Abstract

A type of almost contact hypersurfaces with Norden metric of a Kaehler manifold with Norden metric is considered. The curvature tensor and the special sectional curvatures are characterized. The canonical connection on such manifolds is studied and the form of the corresponding Kaehler curvature tensor is obtained. Some curvature properties of the manifolds belonging to the widest integrable main class of the considered type of hypersurfaces are given.