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Compact orientable submanifold of codimension $2$ in an odd dimensional sphere

Compact orientable submanifold of codimension $2$ in an odd dimensional sphere

has been proved by W. Suss [6]. Recently Y. Katsurada [1], [2] and K. Yano[9] have generalized the above theorem to an ra-dimensional hypersurface inan Einstein space admitting one-parameter groups of conformal transformationsor of homothetic transformations.Thus we may expect an analogous theorem for a submanifold of co-dimension greater than 1 …