# 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:

- 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}

}

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