Stable hypersurfaces with constant scalar curvature in Euclidean spaces

@inproceedings{Alencar1993StableHW,
  title={Stable hypersurfaces with constant scalar curvature in Euclidean spaces},
  author={Hil{\'a}rio Alencar and Walcy Santos and Detang Zhou},
  year={1993}
}
We obtain some nonexistence results for complete noncompact stable hyppersurfaces with nonnegative constant scalar curvature in Euclidean spaces. As a special case we prove that there is no complete noncompact strongly stable hypersurface M in R with zero scalar curvature S2, nonzero GaussKronecker curvature and finite total curvature (i.e. R M |A| < +∞).