Conformal Killing forms on totally umbilical submanifolds
Contemporary Mathematics and Its Applications, Tome 96 (2015), pp. 3-17
Cet article a éte moissonné depuis la source Math-Net.Ru
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.
@article{CMA_2015_96_a0,
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},
journal = {Contemporary Mathematics and Its Applications},
pages = {3--17},
year = {2015},
volume = {96},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMA_2015_96_a0/}
}
TY - JOUR AU - S. E. Stepanov AU - I. A. Alexandrova AU - I. I. Tsyganok AU - J. Mikeš TI - Conformal Killing forms on totally umbilical submanifolds JO - Contemporary Mathematics and Its Applications PY - 2015 SP - 3 EP - 17 VL - 96 UR - http://geodesic.mathdoc.fr/item/CMA_2015_96_a0/ LA - ru ID - CMA_2015_96_a0 ER -
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/