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Hypersurface of an even-dimensional sphere satisfying a certain commutative condition

Hypersurface of an even-dimensional sphere satisfying a certain commutative condition

Let $\overline{M}$ be a Riemannian manifold which admits a linear transformation $f$ of its tangent bundle $T(\overline{M})$ .Then, the tangent bundle $T(M)$ of a hyper- surface $M$ of $\overline{M}$ naturally admits a linear transformation $f$ induced from that of the tangent bundle of the ambient space.On the other hand, on …