The u-principal real hypersurfaces in complex quadrics
Document Type
Article
Publication Date
6-1-2022
Abstract
A real hypersurface in the complex quadric Q(m) = SOm+2/SOmSO2 is said to be u-principal if its unit normal vector field is singular of type u-principal everywhere. In this paper, we show that a u-principal Hopf hypersurface in Q(m), m >= 3, is an open part of a tube around a totally geodesic Q(m+1) in Q(m). We also show that such real hypersurfaces are the only contact real hypersurfaces in Q(m). The classification for complete pseudo-Einstein real hypersurfaces in Q(m), m >= 3, is also obtained.
Keywords
Hopf hypersurfaces, Contact structure, pseudo-Einstein real hyper-surfaces, Complex quadrics
Divisions
Science
Funders
FS-UMRG
Publication Title
Revista de la Union Matematica Argentina
Volume
63
Issue
1
Publisher
Union Matematica Argentina
Publisher Location
UNIV BUENOS AIRES, DEPT MATEMATICA, INTENDENTE GUIRALDES 2160, CIUDAD UNIV, LA PLATA, 1900, ARGENTINA