Conformal Killing Forms on Totally Umbilical Submanifolds

S. E. Stepanov; I. A. Alexandrova; I. I. Tsyganok; J. Mikeš

doi:10.1007/s10958-016-2989-5

Conformal Killing Forms on Totally Umbilical Submanifolds

作者: Stepanov S.E.¹, Alexandrova I.A.¹, Tsyganok I.I.¹, Mikeš J.²
隶属关系:
1. Finance University under the Government of Russian Federation
2. Palacky University
期: 卷 217, 编号 5 (2016)
页面: 525-539
栏目: Article
URL: https://bakhtiniada.ru/1072-3374/article/view/238105
DOI: https://doi.org/10.1007/s10958-016-2989-5
ID: 238105

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详细

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.