# Metallic K\"ahler and Nearly Metallic Kahler Manifolds

## TL;DR

This paper introduces metallic and nearly metallic K"ahler structures on Riemannian manifolds, explores their curvature properties, and investigates special linear connections that preserve associated forms.

## Contribution

It constructs new metallic and nearly metallic K"ahler structures and analyzes their curvature and connection properties, expanding the understanding of these geometric structures.

## Key findings

- Construction of metallic and nearly metallic K"ahler structures
- Analysis of curvature properties of these structures
- Description of special linear connections preserving fundamental forms

## Abstract

In this paper, we construct metallic K\"ahler and nearly metallic K\"ahler structures on Riemanian manifolds. For such manifolds with these structures, we study curvature properties. Also we describe linear connections on the manifold, which preserve the associated fundamental 2-form and satisfy some additional conditions and present some results concerning them.