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


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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

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