A class of Hessian quotient equations in the warped product manifold

Xiaojuan Chen; Qiang Tu; Ni Xiang

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arXiv · 2105.12047

A class of Hessian quotient equations in the warped product manifold

Xiaojuan Chen·Qiang Tu·Ni Xiang

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Abstract

In this paper, we consider a class of Hessian quotient equations in the warped product manifold $\overline{M}=I\times_{\lambda}M$. Under some sufficient conditions, we obtain an existence result for the star-shaped compact hypersurface $\Sigma$ in $\overline{M}$ using standard degree theory based on a priori estimates for solutions to the Hessian quotient equations.

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Xiaojuan Chen, Qiang Tu, Ni Xiang. 2021-05-25. A class of Hessian quotient equations in the warped product manifold. https://arxiv.org/abs/2105.12047

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