S. E. Stepanov, I. A. Alexandrova, I. I. Tsyganok, J. Mikeš, “Conformal Killing forms on totally umbilical submanifolds”, Contemporary Mathematics and Its Applications, 2015, Volume 96,Pages <nobr>3

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Conformal Killing forms on totally umbilical submanifolds

S. E. Stepanov^a, I. A. Alexandrova^a, I. I. Tsyganok^a, J. Mikeš^b

^a Financial University under the Government of the Russian Federation, Moscow
^b Palacký University, Olomouc, Czech Republic

Abstract: 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.

UDC: 514.764.27; 514.753.24