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Some results in geometry of hypersurfaces

Some results in geometry of hypersurfaces

OKAYASU Introduction.In this paper we get several theorems about hypersurfaces in space forms.In section 1, we show that if x : M n -*E n+1 is an isometric immersion of an n-dimensional complete non-compact Riemannian manifold whose sectional curvatures are greater than or equal to 0, then x(M) is unbounded …