PreprintarXiv licencearXiv
Small eigenvalues of negatively curved manifolds with finite volume
Abstract
We obtain upper bounds for the number of small eigenvalues of complete Riemannian manifolds with negative sectional curvature and finite volume.
Related
- Volume growth and integral curvature bound for non-negatively curved three-manifolds
- Joint partial equidistribution of Farey rays in negatively curved manifolds and trees
- Cheeger constant rigidity for cocompact negatively curved manifolds
- Mapping class groups of negatively curved four-manifolds
- Elliptic closed geodesics on non-negatively curved Finsler manifolds
BibTeX
@misc{ballmann2026small,
title = {{Small eigenvalues of negatively curved manifolds with finite volume}},
author = {Werner Ballmann and Panagiotis Polymerakis},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34337},
eprint = {2610.34337},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34337},
}
RIS
TY - UNPB
TI - Small eigenvalues of negatively curved manifolds with finite volume
AU - Werner Ballmann
AU - Panagiotis Polymerakis
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34337
UR - https://arxiv.org/abs/2610.34337
AB - We obtain upper bounds for the number of small eigenvalues of complete Riemannian manifolds with negative sectional curvature and finite volume.
ER -