Theorems of Liuville types in theory mappings of the complete Riemannian manifolds
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 3, pp. 3-10
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In the present paper we prove some vanishing theorems for projective and holomorphically projective diffeomorphisms of Riemannian and Kähler complete manifolds. We will use the well-known Liouville type theorems on harmonic, subharmonic and superharmonic functions on complete Riemannian manifolds for proofs of these theorems.
Keywords:
complete Riemannian and Kähler manifolds, projective and holomorphically projective diffeomorphisms.
@article{VNGU_2015_15_3_a0,
author = {I. A. Alexandrova and J. Mike\v{s} and S. E. Stepanov and I. I. Tsyganok},
title = {Theorems of {Liuville} types in theory mappings of the complete {Riemannian} manifolds},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {3--10},
publisher = {mathdoc},
volume = {15},
number = {3},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2015_15_3_a0/}
}
TY - JOUR AU - I. A. Alexandrova AU - J. Mikeš AU - S. E. Stepanov AU - I. I. Tsyganok TI - Theorems of Liuville types in theory mappings of the complete Riemannian manifolds JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2015 SP - 3 EP - 10 VL - 15 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VNGU_2015_15_3_a0/ LA - ru ID - VNGU_2015_15_3_a0 ER -
%0 Journal Article %A I. A. Alexandrova %A J. Mikeš %A S. E. Stepanov %A I. I. Tsyganok %T Theorems of Liuville types in theory mappings of the complete Riemannian manifolds %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2015 %P 3-10 %V 15 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VNGU_2015_15_3_a0/ %G ru %F VNGU_2015_15_3_a0
I. A. Alexandrova; J. Mikeš; S. E. Stepanov; I. I. Tsyganok. Theorems of Liuville types in theory mappings of the complete Riemannian manifolds. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 3, pp. 3-10. http://geodesic.mathdoc.fr/item/VNGU_2015_15_3_a0/