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Strict Log-Concavity of First Dirichlet Eigenfunctions under Symmetry in ℂℙn
Abstract
We prove that the positive first Dirichlet eigenfunction of every smooth domain with convex boundary in ℂℙn invariant under the standard U(1)× U(n−1)-action is strictly log-concave for n=2,3,4.
Related
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BibTeX
@misc{hsu2026strict,
title = {{Strict Log-Concavity of First Dirichlet Eigenfunctions under Symmetry in $\mathbbCP^n$}},
author = {Jia-Lin Hsu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.00716},
eprint = {2610.00716},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.00716},
}
RIS
TY - UNPB
TI - Strict Log-Concavity of First Dirichlet Eigenfunctions under Symmetry in ℂℙ^n
AU - Jia-Lin Hsu
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.00716
UR - https://arxiv.org/abs/2610.00716
AB - We prove that the positive first Dirichlet eigenfunction of every smooth domain with convex boundary in ℂℙ^n invariant under the standard U(1)× U(n−1)-action is strictly log-concave for n=2,3,4.
ER -