Article ID Journal Published Year Pages File Type
4590985 Journal of Functional Analysis 2011 25 Pages PDF
Abstract

In this paper, we proved the Normal Scalar Curvature Conjecture and the Böttcher–Wenzel Conjecture. We developed a new Bochner formula and it becomes useful with the first conjecture we proved. Using the results, we established some new pinching theorems for minimal submanifolds in spheres.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory