Liouville-type theorems for the theories of Riemannian almost product structures and submersions
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 4, pp. 3-12
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In this paper we prove Liouville-type theorems: non-existence theorems for the special classes of Riemannian almost product structures and submersions, which generalize the well-known similar results from the theory of compact Riemann manifolds.
Mots-clés :
Liouville-type theorem, submersion.
Keywords: Riemannian almost product structure
Keywords: Riemannian almost product structure
@article{VNGU_2016_16_4_a0,
author = {I. A. Alexandrova and S. E. Stepanov and I. I. Tsyganok},
title = {Liouville-type theorems for the theories of {Riemannian} almost product structures and submersions},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {3--12},
publisher = {mathdoc},
volume = {16},
number = {4},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2016_16_4_a0/}
}
TY - JOUR AU - I. A. Alexandrova AU - S. E. Stepanov AU - I. I. Tsyganok TI - Liouville-type theorems for the theories of Riemannian almost product structures and submersions JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2016 SP - 3 EP - 12 VL - 16 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VNGU_2016_16_4_a0/ LA - ru ID - VNGU_2016_16_4_a0 ER -
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I. A. Alexandrova; S. E. Stepanov; I. I. Tsyganok. Liouville-type theorems for the theories of Riemannian almost product structures and submersions. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 4, pp. 3-12. http://geodesic.mathdoc.fr/item/VNGU_2016_16_4_a0/