@ARTICLE{TBA, TITLE={[FORTHCOMING] Curvature estimates for a class of curvature equation in warped product manifolds}, AUTHOR={Jianbo Yang , Yueming Lu, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={}, NUMBER={Forthcoming papers
}, YEAR={2025}, URL={https://www.openscience.fr/Curvature-estimates-for-a-class-of-curvature-equation-in-warped-product}, DOI={TBA}, ISSN={1869-6090}, ABSTRACT={In this paper, we establish curvature estimates for a class of curvature equation $$$\mathcal{F}_{p}(\kappa)=f(V,\nu) for \frac{n}{2} \leq p \leq n-1$$$ in the warped product manifolds $$$\bar{M}$$$. Additionally, by imposing some constraints on the right-hand side function, we also obtain an existence result for the starshaped hypersurface $$$\Sigma$$$ that satisfies the above equation.}}