International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 67, Pages 4205-4216

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

Copyright © 2003 Bang-Yen Chen and Oscar J. Garay. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.