Curvature estimates for a class of curvature equation in warped product manifolds
Abstract
In this paper, we establish curvature estimates for a class of curvature equation F p (κ) = f (V, ν) for n 2 ≤ p ≤ n -1 in the warped product manifolds M .Additionally, by imposing some constraints on the right-hand side function, we also obtain an existence result for the starshaped hypersurface Σ that satisfies the above equation.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Advanced Differential Geometry Research
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Advances in Pure and Applied Mathematics
- Volume
- 17
- Issue
- 1
- Pages
- 25–42
- Publication date
- 1 January 2026
- Language
- FR