Work

Starshaped compact hypersurfaces in warped product manifolds I: prescribed curvature equations

Year: 2024

Type: article

Abstract: We derive global curvature estimates for closed, strictly star-shaped $$(n-2)$$ (n-2) -convex hypersurfaces in warped product manifolds, which satisfy the prescribed $$(n-2)$$ (n-2) -curvature equation with a general right-hand side. The proof can be readily adapted to establish curvature estimates for semi-convex solutions to the generalk-curvature equation. Furthermore, it can also be used to prove the same estimates fork-convex solutions to the prescribed curvature measure type equations.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-024-02839-w

Author: Bin Wang

Institution: Chinese University of Hong Kong

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W4404165712