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Natural Variational Problems in the Grassmann Manifold of a C*-Algebra with Trace

✍ Scribed by Carlos E. Durán; Luis E. Mata-Lorenzo; Lázaro Recht

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
313 KB
Volume
154
Category
Article
ISSN
0001-8708

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✦ Synopsis

dedicated to luis antonio santalo on his 87th birthday

We consider a family of natural variational problems in the Grassmannian of a C*-algebra with trace which can be considered as slightly degenerate Finsler metrics. We show that all these problems have as solutions the standard geodesics and that the short standard geodesics are absolute minima of the functionals restricted to a special class of curves.

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