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A Demailly-type approximation of singular Finsler metrics
Abstract
We establish a Demailly-type approximation theorem for singular Finsler metrics satisfying the multiple coarse Lp extension property on holomorphic vector bundles. As an application, we obtain a new proof of the fact that the multiple coarse Lp extension property characterizes Griffiths positivity, as shown by Deng--Wang--Zhang--Zhou.
Related
- Kähler-Finsler rigidity of the Kobayashi metric and the Kähler base of weakly Kähler-Finsler metrics
- Spherically symmetric Finsler metrics satisfying the σT-condition
- Conformal boundary rigidity for simple Finsler metrics
- On the Definition and Smooth Examples of Weakly Kähler--Finsler Metrics
- Isoperimetric problem for quasi-Finsler metrics and shapes of least aerodynamic resistance
BibTeX
@misc{liu2026demaillytype,
title = {{A Demailly-type approximation of singular Finsler metrics}},
author = {Zhuo Liu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.22996},
eprint = {2609.22996},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.22996},
}
RIS
TY - UNPB
TI - A Demailly-type approximation of singular Finsler metrics
AU - Zhuo Liu
PY - 2026
DA - 2026/09/19
PB - arXiv
DO - 10.48550/arxiv.2609.22996
UR - https://arxiv.org/abs/2609.22996
AB - We establish a Demailly-type approximation theorem for singular Finsler metrics satisfying the multiple coarse L^p extension property on holomorphic vector bundles. As an application, we obtain a new proof of the fact that the multiple coarse L^p extension property characterizes Griffiths positivity, as shown by Deng--Wang--Zhang--Zhou.
ER -