A REMARK ON G-INVARIANT MINIMAL HYPERSURFACES WITH CONSTANT SCALAR CURVATURES IN S5

  • SO, JAE-UP (Dept. of Mathematics, Chonbuk National University)
  • Received : 2001.05.07
  • Published : 2001.07.30

Abstract

We prove an equality that holds on G-invariant minimal hypersurfaces with constant scalar curvatures in $S^5$.

Keywords

Acknowledgement

Supported by : Chonbuk National University

References

  1. Math. Z. v.45 Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques Cartan, E.
  2. J. Diff. Geom. v.37 On minimal hypersurfaces with constant scalar curvatures in $S^4$ Chang, S.
  3. Duke Math. J. v.61 Minimal submanifolds of a sphere with second fundamental form of constant length Chern, S.S.;do Carmo, M.;Kobayashi, S.
  4. Math. J. On the construction of infinitely many congruence classes of imbedded closed minimal hypersurfaces in $S^n$(1) for all $n\;{\ge}3$ Hsiang, W.Y.
  5. Annals of Math. v.89 no.2 Local rigidity theorems for minimal hypersurfaces Lawson, H.B.
  6. Korean Ann. of Math. v.17 On scalar curvatures of G-invariant minimal hypersurfaces in $S^{n+1}$ Park, H.B.;Park, J.H.;So, J.U.
  7. Annals of Math. Studies no.103 Minimal hypersurface of spheres with constant scalar curvature Peng, C.K.;Terng, C.L.
  8. Ann. of Math. v.88 no.2 Minimal varieties in a Riemannian manifold Simons, J.
  9. Annals of Math. Studies no.102 Problem section Yau, S.T.