On the obstructions of deforming vector forms

TL;DR

This paper investigates the obstructions to deforming vector forms on compact Kähler manifolds and demonstrates that these obstructions are annihilated by certain cohomology classes, providing insight into deformation theory.

Contribution

It establishes that obstruction classes in deforming vector forms are annihilated by cohomology classes on compact Kähler manifolds, advancing understanding in deformation theory.

Findings

Obstruction classes are annihilated by cohomology classes.

Provides a new perspective on deformation obstructions in Kähler geometry.

Enhances the theoretical framework for deformation of vector forms.

Abstract

In this note, we show that the obstruction classes of deforming vector forms on a compact K\"ahler manifold is annihilated by cohomology classes.