Classification of hypersurfaces with parallel M�bius second fundamental form in Sn+1

Zejun HU
2004 Science in China Series A  
Let M n (n 2) be an immersed umbilic-free hypersurface in the (n+1)-dimensional unit sphere S n+1 . Then M n is associated with a so-called Möbius metric g, and a Möbius second fundamental form B which are invariants of M n under the Möbius transformation group of S n+1 . In this paper, we classify all umbilic-free hypersurfaces with parallel Möbius second fundamental form.
doi:10.1360/03ys0134 fatcat:xxtk4u2wavhlld5wbfmjjs4jpa