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

Publication Title

Revista de la Union Matematica Argentina

Divisions

Science

Funders

FS-UMRG

Volume

63

Issue

1

Publisher

Union Matematica Argentina

Publisher Location

UNIV BUENOS AIRES, DEPT MATEMATICA, INTENDENTE GUIRALDES 2160, CIUDAD UNIV, LA PLATA, 1900, ARGENTINA

This document is currently not available here.

Share

COinS