On the generalized of p-harmonic maps

TL;DR

This paper extends the concept of p-harmonic and p-biharmonic maps between Riemannian manifolds, introducing new properties for generalized stable p-harmonic maps to deepen understanding in geometric analysis.

Contribution

It introduces a generalized framework for p-harmonic maps and explores new stability properties, advancing the theoretical understanding of these maps in differential geometry.

Findings

New properties for generalized stable p-harmonic maps

Extended definitions of p-harmonic and p-biharmonic maps

Theoretical insights into stability and generalization

Abstract

In this paper, we extend the definition of p-harmonic and p-biharmonic maps between Riemannian manifolds. We present some new properties for the generalized stable p-harmonic maps.