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

I. A. Aleksandrova; J. Mikeš; S. E. Stepanov; I. I. Tsyganok

doi:10.1007/s10958-017-3262-2

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

作者: Aleksandrova I.A.¹, Mikeš J.², Stepanov S.E.¹, Tsyganok I.I.¹
隶属关系:
1. Financial University under the Government of the Russian Federation
2. Palack´y University Olomouc
期: 卷 221, 编号 6 (2017)
页面: 737-744
栏目: Article
URL: https://ogarev-online.ru/1072-3374/article/view/239088
DOI: https://doi.org/10.1007/s10958-017-3262-2
ID: 239088

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详细

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.