PreprintCC BY 4.0arXiv
Some results on weighted p-harmonic ℓ-forms on weighted manifolds
Abstract
Basing on new curvature conditions for the Bochner technique of Petersen-Wrink in \cite{PW21}, in this paper, we give some vanishing properties for weighted LQ p-harmonic ℓ-forms on weighted manifolds, where p>1, Q>p−1. These results generalize some previous theorems for LQ harmonic ℓ-forms of Dung-Dung-Hung on the paper \cite{DDH25}.
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BibTeX
@misc{nguyen2026some,
title = {{Some results on weighted p-harmonic $\ell$-forms on weighted manifolds}},
author = {Dang Tuyen Nguyen and Dhiriti Sundar Patra},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27393},
eprint = {2609.27393},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27393},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Some results on weighted p-harmonic ℓ-forms on weighted manifolds
AU - Dang Tuyen Nguyen
AU - Dhiriti Sundar Patra
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.27393
UR - https://arxiv.org/abs/2609.27393
AB - Basing on new curvature conditions for the Bochner technique of Petersen-Wrink in \cite{PW21}, in this paper, we give some vanishing properties for weighted L^Q p-harmonic ℓ-forms on weighted manifolds, where p>1, Q>p−1. These results generalize some previous theorems for L^Q harmonic ℓ-forms of Dung-Dung-Hung on the paper \cite{DDH25}.
ER -