Liouville-Type Theorems for Theories of Riemannian Almost Product Structures and Submersions
- Authors: Aleksandrova I.A.1, Stepanov S.E.1, Tsyganok I.I.1
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Affiliations:
- Financial University under the Government of the Russian Federation
- Issue: Vol 230, No 1 (2018)
- Pages: 1-9
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240589
- DOI: https://doi.org/10.1007/s10958-018-3720-5
- ID: 240589
Cite item
Abstract
We prove Liouville type theorems, i.e., non-existence theorems for special classes of Riemannian almost product structures and submersions, that generalize well-known similar results of the theory of compact Riemannian manifolds.
About the authors
I. A. Aleksandrova
Financial University under the Government of the Russian Federation
Author for correspondence.
Email: iralex_65@mail.ru
Russian Federation, 49, Leningradsky pr, Moscow, 125993
S. E. Stepanov
Financial University under the Government of the Russian Federation
Email: iralex_65@mail.ru
Russian Federation, 49, Leningradsky pr, Moscow, 125993
I. I. Tsyganok
Financial University under the Government of the Russian Federation
Email: iralex_65@mail.ru
Russian Federation, 49, Leningradsky pr, Moscow, 125993