\(k\)-convex hypersurfaces with prescribed Weingarten curvature in warped product manifolds

DOI10.1016/j.na.2024.113640MaRDI QIDQ6611127

Ni Xiang, Xiaojuan Chen, Qiang Tu

Publication date: 26 September 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

warped product manifoldsWeingarten curvatureHessian type equations

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Closed hypersurfaces with prescribed Weingarten curvature in Riemannian manifolds
• Hypersurfaces of prescribed curvature measure
• A note on star-shaped compact hypersurfaces with prescribed scalar curvature in space forms
• Starshaped compact hypersurfaces with prescribed \(k\)-th mean curvature in hyperbolic space
• Convex hypersurfaces of prescribed curvatures
• Locally constrained curvature flows and geometric inequalities in hyperbolic space
• Closed Weingarten hypersurfaces in warped product manifolds
• Degree Theory for Second Order Nonlinear Elliptic Operators and its Applications
• SOLUTION OF THE DIRICHLET PROBLEM FOR CURVATURE EQUATIONS OF ORDER $ m$
• The Existence of Convex Body with Prescribed Curvature Measures
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• On some inequalities for elementary symmetric functions
• A simple proof of curvature estimate for convex solution of 𝑘-Hessian equation
• On the curvature estimates for Hessian equations
• A Mean Curvature Type Flow in Space Forms
• Global C²‐Estimates for Convex Solutions of Curvature Equations
• The global curvature estimate for the \(n - 2\) Hessian equation
• Curvature estimates for semi-convex solutions of Hessian equations in hyperbolic space

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