Conformal Killing forms on totally umbilical submanifolds
Contemporary Mathematics and Its Applications, Tome 96 (2015), pp. 3-17.

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In the present paper we shall study the global existence of conformal Killing forms on compact and orientable submanifolds of pseudo-Riemannian manifolds. In addition, we shall determine exact upper bounds of the dimensions of the vector spaces of these forms on compact and orientable pseudo-Riemannian manifolds.
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     author = {S. E. Stepanov and I. A. Alexandrova and I. I. Tsyganok and J. Mike\v{s}},
     title = {Conformal {Killing} forms on totally umbilical submanifolds},
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     year = {2015},
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S. E. Stepanov; I. A. Alexandrova; I. I. Tsyganok; J. Mikeš. Conformal Killing forms on totally umbilical submanifolds. Contemporary Mathematics and Its Applications, Tome 96 (2015), pp. 3-17. http://geodesic.mathdoc.fr/item/CMA_2015_96_a0/