ISSN:
1572-9060
Keywords:
mean curvature
;
$$r$$ -mean curvature
;
sphere
;
stability
;
stable
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We deal with compact hypersurfaces immersed in space forms with constant $$r$$ -mean curvature. They are critical points for a variational problem. We show they are stable if and only if they are geodesic spheres, generalizing results on constant curvature hypersurfaces.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006514303828