@ARTICLE{10.21494/ISTE.OP.2026.1392, 

TITLE={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={17}, 

NUMBER={Issue 1 (January 2026)}, 
	
YEAR={2026}, 

URL={https://www.openscience.fr/Curvature-estimates-for-a-class-of-curvature-equation-in-warped-product}, 
	
DOI={10.21494/ISTE.OP.2026.1392}, 
	
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.}}