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Liouville-Type Theorems for Theories of Riemannian Almost Product Structures and Submersions

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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.

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Authors and Affiliations

  1. Financial University under the Government of the Russian Federation, 49, Leningradsky pr, Moscow, 125993, Russia

    I. A. Aleksandrova, S. E. Stepanov & I. I. Tsyganok

Authors
  1. I. A. Aleksandrova
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  2. S. E. Stepanov
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  3. I. I. Tsyganok
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Correspondence to I. A. Aleksandrova.

Additional information

Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 16, No. 4, 2016, pp. 3-12.

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Aleksandrova, I.A., Stepanov, S.E. & Tsyganok, I.I. Liouville-Type Theorems for Theories of Riemannian Almost Product Structures and Submersions. J Math Sci 230, 1–9 (2018). https://doi.org/10.1007/s10958-018-3720-5

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  • DOI: https://doi.org/10.1007/s10958-018-3720-5

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