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

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.

Authors:
; ;  [1]
  1. Financial University under the Government of the Russian Federation (Russian Federation)
Publication Date:
OSTI Identifier:
22771411
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 1; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; GREEN FUNCTION; LIOUVILLE THEOREM; MATHEMATICAL MANIFOLDS; RIEMANN SPACE

Citation Formats

Aleksandrova, I. A., E-mail: iralex-65@mail.ru, Stepanov, S. E., E-mail: s.e.stepanov@mail.ru, and Tsyganok, I. I., E-mail: i.i.tsyganok@mail.ru. Liouville-Type Theorems for Theories of Riemannian Almost Product Structures and Submersions. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3720-5.
Aleksandrova, I. A., E-mail: iralex-65@mail.ru, Stepanov, S. E., E-mail: s.e.stepanov@mail.ru, & Tsyganok, I. I., E-mail: i.i.tsyganok@mail.ru. Liouville-Type Theorems for Theories of Riemannian Almost Product Structures and Submersions. United States. doi:10.1007/S10958-018-3720-5.
Aleksandrova, I. A., E-mail: iralex-65@mail.ru, Stepanov, S. E., E-mail: s.e.stepanov@mail.ru, and Tsyganok, I. I., E-mail: i.i.tsyganok@mail.ru. Sun . "Liouville-Type Theorems for Theories of Riemannian Almost Product Structures and Submersions". United States. doi:10.1007/S10958-018-3720-5.
@article{osti_22771411,
title = {Liouville-Type Theorems for Theories of Riemannian Almost Product Structures and Submersions},
author = {Aleksandrova, I. A., E-mail: iralex-65@mail.ru and Stepanov, S. E., E-mail: s.e.stepanov@mail.ru and Tsyganok, I. I., E-mail: i.i.tsyganok@mail.ru},
abstractNote = {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.},
doi = {10.1007/S10958-018-3720-5},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}