Geometry and dynamics of Finsler manifolds / Géométrie et dynamiques des espaces de Finsler

Collection Geometry and dynamics of Finsler manifolds / Géométrie et dynamiques des espaces de Finsler

Organizer(s) Alvarez Paiva, Juan-Carlos ; Vernicos, Constantin ; Yang, Deane
Date(s) 16/06/2014 - 20/06/2014
00:00:00 / 00:00:00
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Metric geometry in homogeneous spaces of the unitary group of a $C^²$-algebra. Part 2: minimal curves

By Lazaro Recht

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 $\pi /2.$

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Citation data

  • DOI 10.24350/CIRM.V.18581303
  • Cite this video Recht, Lazaro (17/06/2014). Metric geometry in homogeneous spaces of the unitary group of a $C^²$-algebra. Part 2: minimal curves. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18581303
  • URL https://dx.doi.org/10.24350/CIRM.V.18581303

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