H3: Timbre Space is Isometric to the Poincaré Upper Half-Plane

Prior art establishing that the space of Gaussian spectral envelopes with Fisher metric is isometric to the Poincaré upper half-plane ℍ² with constant negative curvature κ = -½.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20967280
Primary Topic
Geometric Analysis and Curvature Flows
Type
preprint
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preprint

H3: Timbre Space is Isometric to the Poincaré Upper Half-Plane

Maksym Diachenko
Zenodo (CERN European Organization for Nuclear Research)
Geometric Analysis and Curvature Flows
preprint

H3: Timbre Space is Isometric to the Poincaré Upper Half-Plane

Maksym Diachenko
preprint en

Abstract

Prior art establishing that the space of Gaussian spectral envelopes with Fisher metric is isometric to the Poincaré upper half-plane ℍ² with constant negative curvature κ = -½.

Zenodo (CERN European Organization for Nuclear Research)
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
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