A1 Journal article (refereed)
Non-Hilbertian tangents to Hilbertian spaces (2023)

Lučić, D., Pasqualetto, E., & Rajala, T. (2023). Non-Hilbertian tangents to Hilbertian spaces. Proceedings of the Royal Society of Edinburgh section A: mathematics, 153(3), 811-832. https://doi.org/10.1017/prm.2022.18

JYU authors or editors

Publication details

All authors or editors: Lučić, Danka; Pasqualetto, Enrico; Rajala, Tapio

Journal or series: Proceedings of the Royal Society of Edinburgh section A: mathematics

ISSN: 0308-2105

eISSN: 1473-7124

Publication year: 2023

Publication date: 05/04/2022

Volume: 153

Issue number: 3

Pages range: 811-832

Publisher: Cambridge University Press (CUP)

Publication country: United Kingdom

Publication language: English

DOI: https://doi.org/10.1017/prm.2022.18

Publication open access: Not open

Publication channel open access: 

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2111.06777

Abstract

We provide examples of infinitesimally Hilbertian, rectifiable, Ahlfors regular metric measure spaces having pmGH-tangents that are not infinitesimally Hilbertian.

Keywords: differential geometry; metric spaces

Free keywords: tangent cone; infinitesimal Hilbertianity; PI space; 53C23; 46E35

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Related projects

Ministry reporting: Yes

Reporting Year: 2022

JUFO rating: 1