PreprintarXiv licencearXiv
A class of sum Hessian quotient equations arising in conformal geometry
Abstract
In this paper, we investigate the existence result of (n−1)-admissible solutions to a class of sum Hessian quotient equations with the modified Schouten tensor on Riemannian manifolds. By establishing uniform a priori estimates, we prove the solvability of the problem via degree theory.
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BibTeX
@misc{xiang2026class,
title = {{A class of sum Hessian quotient equations arising in conformal geometry}},
author = {Ni Xiang and Yuni Xiong},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.21106},
eprint = {2610.21106},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.21106},
}
RIS
TY - UNPB
TI - A class of sum Hessian quotient equations arising in conformal geometry
AU - Ni Xiang
AU - Yuni Xiong
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.21106
UR - https://arxiv.org/abs/2610.21106
AB - In this paper, we investigate the existence result of (n−1)-admissible solutions to a class of sum Hessian quotient equations with the modified Schouten tensor on Riemannian manifolds. By establishing uniform a priori estimates, we prove the solvability of the problem via degree theory.
ER -