Mathematics > Home > Advances in Pure and Applied Mathematics > Forthcoming papers > Article
Jianbo Yang
Harbin University of Science and Technology
China
Yueming Lu
Harbin University of Science and Technology
China
Validated on 7 August 2025 DOI : TBA
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.
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.
Curvature estimate curvature equation warped product manifold
Curvature estimate curvature equation warped product manifold
