Some remarks on minimal submanifolds

Abstract

[ 1 ] S. S. CHERN, Minimal submanifolds in a Riemannian manifold, Lecture note, 1968.[2] S. S.CHERN, M.P. Do Carmo, S. KOBAYASHI, Minimal submanifolds of a sphere withsecond fundamental form of constant length, to appear.[ 3 ] E. T. DA VIES, On the second and third fundamental forms of a subspace, J. London Math.Soc, 12(1937), 290-295.[ 4 ] H. B. LAWSON, JR, Local rigidity theorems for minimal hypersurfaces, Ann. of Math., 89(1969), 187-197.[ 5 ] K. NOMIZU, On hypersurfaces satisfying a certain condition on the curvature tensor,Tδhoku Math. J., 20(1968), 46-59.[ 6 ] T. OTSTJKI, Minimal hypersurfaces in a Riemannian manifold of constant curvature, toappear.[7] J.SlMONS, Minimal varieties in riemannian manifolds, Ann. of Math., 88(1968), 62-105.[8] S. TANNO, Hypersurfaces satisfying a certain condition on the Ricci tensor, Tόhoku Math.J., 21(1969), 297-303.[9] S. TANNO, T. TAKAHASHI, Some hypersurfaces of a sphere, Tόhoku Math. J., 22(1970),212-219.[10] Y. TOMONAGA, Pseudo-Jacobi fields on minimal varieties, Tohoku Math. J., 21(1969),539-547.MATHEMATICAL INSTITUTETOHOKU UNIVERSITYS::NDAI, JAPAN