Chern-Moser-Weyl Tensor and Embeddings into Hyperquadrics

2016/06/29 by Huang, Xiaojun, Xiao, Ming
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1606.09145

Abstract

The first part of the article surveys some work on the Chern-Moser-Weyl tensor and its application in the embeddability problem into hyperquadrics. In the last section, we give a negative answer to a folklore conjecture concerning the embeddability of compact, strongly pseudoconvex, real algebraic hypersurfaces into a sphere of sufficiently high dimension.

Related

• Umbilic points and Real hyperquadrics
• Non-embeddability into a fixed sphere for a family of compact real algebraic hypersurfaces
• Inductive characterizations of hyperquadrics
• Chern conjecture and isoparametric hypersurfaces
• On the embeddability of real hypersurfaces into hyperquadrics