Year: 2026
Type: preprint
Abstract: We study the infinite-dimensional Gaussian pyramid and its quotients by the global sign flip and the $U(1)$-Hopf action. We resolve affirmatively a long-standing problem posed by Tomohiro Fukaya around 2014: these three limiting geometries are pairwise non-similar, meaning that no positive rescaling makes any two of them coincide.
Source: arXiv (Cornell University)
Authors: Shioya, Takashi, Yokota, Shigeaki
Institution: Tohoku University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: 距離空間と測度距離空間の幾何学
OpenAlex ID: W7212055628