Geodesic motion on \(\mathrm{SL}(n)\) with the Hilbert-Schmidt metric

DOI10.1007/S44007-021-00002-XOpenAlexW3212535912MaRDI QIDQ2153124

Audrey Rosevear, Samuel Sottile, Willie Wai Yeung Wong

Publication date: 1 July 2022

Published in: La Matematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09266

zbMATH Keywords

incompressible fluidgeodesicaffine motionHilbert-Schmidt metric

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of homogeneous manifolds (53C30) Applications of differential geometry to physics (53Z05) Geodesics in global differential geometry (53C22)

Cites Work

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• Global existence and asymptotic behavior of affine motion of 3D ideal fluids surrounded by vacuum
• Affine motion of 2d incompressible fluids surrounded by vacuum and flows in \(\text{SL}(2,\mathbb{R})\)
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• On the Trace of Matrix Products

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