Construction of stationary discs for perturbations of decoupled submanifolds in $\mathbb{C}^4$

TL;DR

This paper develops a method to construct stationary discs for perturbed decoupled submanifolds in complex four-dimensional space, advancing understanding of their geometric properties.

Contribution

It introduces a new construction technique for stationary discs applicable to perturbations of decoupled submanifolds in our-dimensional complex space.

Findings

Successfully constructed stationary discs for perturbed submanifolds.

Extended the theory of stationary discs to higher-dimensional complex spaces.

Provided a framework for analyzing perturbations of real submanifolds.

Abstract

We construct generalized stationary discs to perturbations of decoupled real submanifolds of codimension $2$ in $\mathbb{C}^4$.