Normal Scalar Curvature Conjecture and its applications

By Zhiqin Lu. 2008

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Abstract In this paper, we proved the Normal Scalar Curvature Conjecture and the Bottcher–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.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9ffc28cff7f03ca8c7df9c18b546b77c23824d4d