Liouville Type Theorems in the Theory of Mappings of Complete Riemannian Manifolds


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We prove vanishing theorems for projective and holomorphically projective diffeomorphisms of Riemannian and Kähler complete manifolds. In the proof, we use the wellknown Liouville type theorems on harmonic, subharmonic and superharmonic functions on complete Riemannian manifolds. Bibliography: 31 titles.

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I. Aleksandrova

Financial University under the Government of the Russian Federation

Autor responsável pela correspondência
Email: iralex_65@mail.ru
Rússia, 49, Leningradsky pr., Moscow, 125993

J. Mikeš

Palack´y University Olomouc

Email: iralex_65@mail.ru
Tchéquia, 17, Listopadu 12, Olomouc, 77146

S. Stepanov

Financial University under the Government of the Russian Federation

Email: iralex_65@mail.ru
Rússia, 49, Leningradsky pr., Moscow, 125993

I. Tsyganok

Financial University under the Government of the Russian Federation

Email: iralex_65@mail.ru
Rússia, 49, Leningradsky pr., Moscow, 125993

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