Email this article Conformal Killing Forms on Totally Umbilical Submanifolds
- Authors: Stepanov S.E.1, Alexandrova I.A.1, Tsyganok I.I.1, Mikeš J.2
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Affiliations:
- Finance University under the Government of Russian Federation
- Palacky University
- Issue: Vol 217, No 5 (2016)
- Pages: 525-539
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238105
- DOI: https://doi.org/10.1007/s10958-016-2989-5
- ID: 238105
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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.
About the authors
S. E. Stepanov
Finance University under the Government of Russian Federation
Author for correspondence.
Email: s.e.stepanov@mail.ru
Russian Federation, Moscow
I. A. Alexandrova
Finance University under the Government of Russian Federation
Email: s.e.stepanov@mail.ru
Russian Federation, Moscow
I. I. Tsyganok
Finance University under the Government of Russian Federation
Email: s.e.stepanov@mail.ru
Russian Federation, Moscow
J. Mikeš
Palacky University
Email: s.e.stepanov@mail.ru
Czech Republic, Olomouc
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