On Product And Golden Structures And Harmonicity

TL;DR

This paper explores the properties of almost product and almost golden structures, focusing on their integrability, parallelism, and harmonicity of maps between related manifolds with specific metrics.

Contribution

It investigates conditions for integrability and parallelism of these structures and examines harmonicity of maps under various metric conditions.

Findings

Conditions for integrability of almost product and golden structures.

Criteria for parallelism of these structures.

Harmonicity conditions of maps between manifolds with specific metrics.

Abstract

In this work, almost product and almost golden structures are studied. Conditions for those structures being Integrable and parallel are investigated. Also harmonicity of a map between almost pruduct or almost golden manifolds with pure or hyperbolic metric is discussed under certain conditions.