On the geometry in the large of Hadamard manifolds
Filomat, Tome 37 (2023) no. 25, p. 8473
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A Hadamard manifold is a simply connected, complete Riemannian manifold with nonpositive sectional curvature. The theory of Hadamard manifolds is a topic that has been more and more intensively studied for more than forty years. In the present paper, we prove Liouville-type theorems for conformal, isometric and harmonic pointwise transformations of metrics of Hadamard manifolds.
Classification :
53C21, 58J05
Keywords: Hadamard manifold, Liouville-type theorem
Keywords: Hadamard manifold, Liouville-type theorem
Sergey Stepanov; Irina Tsyganok. On the geometry in the large of Hadamard manifolds. Filomat, Tome 37 (2023) no. 25, p. 8473 . doi: 10.2298/FIL2325473S
@article{10_2298_FIL2325473S,
author = {Sergey Stepanov and Irina Tsyganok},
title = {On the geometry in the large of {Hadamard} manifolds},
journal = {Filomat},
pages = {8473 },
year = {2023},
volume = {37},
number = {25},
doi = {10.2298/FIL2325473S},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2325473S/}
}
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