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arXiv · 2610.21106

A class of sum Hessian quotient equations arising in conformal geometry

Ni Xiang·Yuni Xiang
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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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Ni Xiang, Yuni Xiang. 2026-10-15. A class of sum Hessian quotient equations arising in conformal geometry. https://arxiv.org/abs/2610.21106

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