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.
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     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},
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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/