First eigenvalue estimates on complete balanced Hermitian manifolds
Differential Geometry
2025-11-04 v1 Complex Variables
Spectral Theory
Abstract
In analogy with classical results in Riemannian geometry, we establish estimates for the first eigenvalue of the Laplace-de Rham operator on complete balanced Hermitian manifolds in terms of either the holomorphic Ricci curvature or the holomorphic sectional curvature associated with the Strominger-Bismut connection.
Cite
@article{arxiv.2511.01297,
title = {First eigenvalue estimates on complete balanced Hermitian manifolds},
author = {Liangdi Zhang},
journal= {arXiv preprint arXiv:2511.01297},
year = {2025}
}
Comments
29 pages. Comments are welcome