Titre : Curvature estimates for a class of curvature equation in warped product manifolds 

Auteurs : Jianbo Yang
, Yueming Lu,  

Revue : Advances in Pure and Applied Mathematics 

Numéro : Issue 1 (January 2026) 

Volume : 17 

Date : 2026/01/13 

DOI : 10.21494/ISTE.OP.2026.1392 

ISSN : 1869-6090 

Résumé : 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. 

Éditeur : ISTE OpenScience