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Geodesic completeness of the left-invariant metrics on ${{\mathbb{R}} H^n} $

UDC 514 We give the full classification of left-invariant metrics of an arbitrary signature on the Lie group corresponding to the real hyperbolic space.&nbsp;We show that all metrics have constant sectional curvature and that they are geodesically complete only in the Riemannian case.

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Bibliographic Details
Date:	2020
Main Authors:	Vukmirović, Srdjan, Šukilović, Tijana
Format:	Article
Language:	English Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2020
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/645
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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