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The Fischer-Marsden conjecture asserts that an n-dimensional compact manifold admitting a nontrivial solution of the so-called Fischer-Marsden differential equation is necessarily an Einstein…
We use a nontrivial concircular vector field u on the unit sphere Sn+1 in studying
geometry of its hypersurfaces. An orientable hypersurface M of the unit sphere Sn+1
naturally…
In this paper, we find a conformal vector field as well as a Killing vector field on a compact real submanifold of the canonical complex space form (Cm, J, < , >). In particular, using…
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