01:01:15
publiée le 22 décembre 2025
Mathematical, historical and philosophical perspectives on the classification of finite simple groups, 1950s to 1980s
De Rebecca Waldecker , Volker Remmert
Metric geometry in homogeneous spaces of the unitary group of a $C^²$-algebra. Part 2: minimal curves
De Lazaro Recht
Apparaît dans la collection : Geometry and dynamics of Finsler manifolds / Géométrie et dynamiques des espaces de Finsler
Let $P$ be of the unitary group $U_A$ of a $C^²$-algebra $A$. The main result: in the von Neumann algebra context (i.e. if the isotropy sub-algebra is a von Neumann algebra), for each unit tangent vector $X$ at a point, there is a geodesic $\delta (t)$, wich is obtained by the action on $P$ of a $1$-parameter group in $U_A$. This geodesic is minimizing up to length $\pi /2.$
