On metrics projectively and holomorphically projectively equivalent to metrics of parabolic Riemannian and Kähler manifolds
Filomat, Tome 37 (2023) no. 3, p. 949

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DOI

We prove a number of nonexistence theorems for metrics projectively and holomorphically projectively equivalent to parabolic metrics and metrics of finite volume of complete Riemannian and Kähler manifolds, respectively.
DOI : 10.2298/FIL2303949M
Classification : 53C20, 53C15, 53C24
Keywords: Complete Riemannian manifold, Complete Kähler manifold, Projectively equivalent Riemannian metric, Holomorphically projectively equivalent Kähler metrics, Liouville-type theorems
Josef Mikeš; Sergey E Stepanov; Irina I Tsyganok. On metrics projectively and holomorphically projectively equivalent to metrics of parabolic Riemannian and Kähler manifolds. Filomat, Tome 37 (2023) no. 3, p. 949 . doi: 10.2298/FIL2303949M
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     author = {Josef Mike\v{s} and Sergey E Stepanov and Irina I Tsyganok},
     title = {On metrics projectively and holomorphically projectively equivalent to metrics of parabolic {Riemannian} and {K\"ahler} manifolds},
     journal = {Filomat},
     pages = {949 },
     year = {2023},
     volume = {37},
     number = {3},
     doi = {10.2298/FIL2303949M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2303949M/}
}
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