A generalization of the normal holomorphic frames in Symplectic Manifolds

TL;DR

This paper extends the concept of normal holomorphic frames within symplectic manifolds and establishes conditions under which complex structures are integrable.

Contribution

It introduces a generalized framework for normal holomorphic frames and derives new criteria for the integrability of complex structures in symplectic manifolds.

Findings

Generalized normal holomorphic frames in symplectic manifolds

Conditions for integrability of complex structures

New theoretical insights into symplectic geometry

Abstract

In this paper we give a generalization of the normal holomorphic frames in the symplectic manifolds and find conditions for the integrability of complex structures.