Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds

TL;DR

This paper proves the existence of supersymmetric Hermitian metrics with torsion on certain non-Kaehler manifolds, expanding the understanding of complex geometry in string theory contexts.

Contribution

It establishes the existence of such metrics on a specific class of non-Kaehler manifolds, a novel result in complex differential geometry.

Findings

Existence of supersymmetric Hermitian metrics with torsion proven.

Applicable to a class of non-Kaehler manifolds.

Advances understanding of geometric structures in string theory.

Abstract

We proved the existence of supersymmetric Hermitian metrics with torsion on a class of non-Kaehler manifolds.