International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 67, Pages 4205-4216
doi:10.1155/S0161171203304260

Constant mean curvature hypersurfaces with constant δ-invariant

Bang-Yen Chen1 and Oscar J. Garay2

 1Department of Mathematics, Michigan State University, East Lansing 48824-1027, MI, USA
2Departamento de Matemáticas, Universidad del País Vasco/Euskal Herriko Unibertsitatea, Apartado 644, Bilbao 48080, Spain
Received 29 April 2003

Abstract

We completely classify constant mean curvature hypersurfaces (CMC) with constant δ-invariant in the unit 4-sphere S4 and in the Euclidean 4-space 𝔼4.