American Journal of Mathematics, Vol. 131, No. 2 (Apr., 2009), pp. 545-569 (25 pages) Let M be an arbitrary Riemannian manifold diffeomorphic to S². Let x, y be two arbitrary points of M. We prove ...
In this paper, we obtain some classification theorems for totally umbilical semi-invariant sub-manifolds in locally decomposable metallic Riemannian manifolds. We also prove that there exist no ...
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