Balogh, Zoltán M. 
ORCID: https://orcid.org/0009-0007-2327-8071, Stroher, Eric, Titkos, Tamás ORCID: https://orcid.org/0000-0002-3891-7020 and Virosztek, Dániel ORCID: https://orcid.org/0000-0003-1109-5511
(2026)
Wasserstein rigidity over Rn with smooth norms.
Mathematika, 72
(4).
DOI https://doi.org/10.1112/mtk.70132
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Official URL: https://doi.org/10.1112/mtk.70132
Abstract
We study p - Wasserstein spaces W-p(R-n,d(N) ) over & Ropf;(n) equipped with a norm metric d(N) . We show that, if the norm is smooth enough, then the Wasserstein space is isometrically rigid whenever p not equal 2. We also show that, even when p = 2, we can recover the isometric rigid-ity of the Wasserstein space W-2 (& Ropf;(n) , d(N) ) when N is an l(q) - norm and q > 2
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Applied mathematics; Wasserstein spaces; smooth normed spaces; Wasserstein rigidity |
| Divisions: | Institute of Data Analytics and Information Systems |
| Subjects: | Mathematics, Econometrics |
| Funders: | Swiss National Science Foundation, NKFIH, NKFIH, Hungarian Academy of Sciences, European Union |
| Projects: | Grant/Award Number: 200020_228012, K134944, Excellence_151232, LP2021-15/2021, ERC Synergy: 810115 |
| DOI: | https://doi.org/10.1112/mtk.70132 |
| ID Code: | 13405 |
| Deposited By: | MTMT SWORD |
| Deposited On: | 20 Oct 2026 14:36 |
| Last Modified: | 20 Oct 2026 14:36 |
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