PreprintarXiv licencearXiv
Upper bounds of the Laplace spectrum on compact Kähler manifolds
Abstract
On a connected compact Kähler manifold without boundary, we derive a uniform upper bound for each Laplace eigenvalue over all Kähler metrics in a given Kähler class. This provides an affirmative answer to a question of Yau.
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BibTeX
@misc{yuan2026upper,
title = {{Upper bounds of the Laplace spectrum on compact Kähler manifolds}},
author = {Yuan Yuan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.15593},
eprint = {2609.15593},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.15593},
}
RIS
TY - UNPB
TI - Upper bounds of the Laplace spectrum on compact Kähler manifolds
AU - Yuan Yuan
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.15593
UR - https://arxiv.org/abs/2609.15593
AB - On a connected compact Kähler manifold without boundary, we derive a uniform upper bound for each Laplace eigenvalue over all Kähler metrics in a given Kähler class. This provides an affirmative answer to a question of Yau.
ER -