Álvarez López, Jesús AntonioBarral Lijó, Ramón2024-02-092024-02-092017Álvarez López, Jesús A., Barral Lijó, Ramón (2017). Bounded geometry and leaves. "Mathematische Nachrichten", vol. 290, pp. 1448-1469http://hdl.handle.net/10347/32606This is the peer reviewed version of the following article: Álvarez López, Jesús A., Barral Lijó, Ramón (2017). Bounded geometry and leaves. "Mathematische Nachrichten", vol. 290, pp. 1448-1469, which has been published in final form at https://doi.org/10.1002/mana.201600223. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.The main theorem states that any complete connected Riemannian manifold of bounded geometry can be isometrically realized as a leaf with trivial holonomy in a compact Riemannian foliated space.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/smooth convergence of Riemannian manifoldsbounded geometryRiemannian foliated space12 Matemáticasjournal article10.1002/mana.201600223open access