Remark on the paper "Eigenvalues of the Witten-Laplacian on compact Riemannian manifolds" Q.-M. Cheng and L. Zeng [arXiv:1304.3212]

TL;DR

This paper comments on the results of Cheng and Zeng's work on the eigenvalues of the Witten-Laplacian, arguing that their findings follow directly from existing theorems in the field.

Contribution

It clarifies that the results by Cheng and Zeng are immediate consequences of previously established theorems, providing a perspective that simplifies their findings.

Findings

The results are direct consequences of known theorems.

No new eigenvalue bounds are introduced.

The paper emphasizes existing mathematical relationships.

Abstract

Why the results of that article [arXiv:1304.3212] are immediate consequences of known ones.