On the curvature estimates for Hessian equations

By Changyu Ren, Zhizhang Wang. American Journal of Mathematics, 2016

75 citations recorded by the source corpus.

abstract:The curvature estimates for $k$ curvature equations with general right-hand sides is a longstanding problem. In this paper, we completely solve the problem when $k=n-1$. We also discuss some applications of our estimates.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ea795945804da794aa7e5b7e852e69e2d59d6286

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Changyu Ren
2. Zhizhang Wang
3. Duong H. Phong
4. Sebastien Picard
5. Xiangwen Zhang

In Geometry and Topology

1. Changyu Ren
2. Zhizhang Wang

Citations in the corpus

• The global curvature estimate for the n-2 Hessian equation (2020, methodology): “Very recently, Ren-Wang-Xiao [42] considers entire space like hypersurfaces with constant σn−1 curvature in Minkowski space, using some techniques developing in [26, 30] and [41].”