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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Minimality of geodesics in Grassmann manifolds


Authors: Horacio Porta and Lázaro Recht
Journal: Proc. Amer. Math. Soc. 100 (1987), 464-466
MSC: Primary 46L05; Secondary 58B20
MathSciNet review: 891146
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Abstract: In the Grassmann manifold of an arbitrary $ {C^ * }$-algebra, the geodesics of length less than $ \pi $ are curves of minimal length.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0891146-6
PII: S 0002-9939(1987)0891146-6
Article copyright: © Copyright 1987 American Mathematical Society