On metrics projectively and holomorphically projectively equivalent to metrics of parabolic Riemannian and Kähler manifolds
Filomat, Tome 37 (2023) no. 3, p. 949
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
Classification :
53C20, 53C15, 53C24
Keywords: Complete Riemannian manifold, Complete Kähler manifold, Projectively equivalent Riemannian metric, Holomorphically projectively equivalent Kähler metrics, Liouville-type theorems
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
@article{10_2298_FIL2303949M,
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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%0 Journal Article %A Josef Mikeš %A Sergey E Stepanov %A Irina I Tsyganok %T On metrics projectively and holomorphically projectively equivalent to metrics of parabolic Riemannian and Kähler manifolds %J Filomat %D 2023 %P 949 %V 37 %N 3 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2303949M/ %R 10.2298/FIL2303949M %G en %F 10_2298_FIL2303949M
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