On Hopf hypersurfaces of the complex quadric with constant principal curvatures
Abstract
In this paper, we classify the Hopf hypersurfaces of the complex quadric Qm=SOm+2/(SO2SOm) (m≥3) with at most five distinct constant principal curvatures. We also classify the Hopf hypersurfaces of Qm (m=3,4,5) with constant principal curvatures. All these real hypersurfaces are open parts of homogeneous examples.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.