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On the exponential metric increasing property

✍ Scribed by Rajendra Bhatia

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
189 KB
Volume
375
Category
Article
ISSN
0024-3795

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✦ Synopsis

A short and simple proof is given for the inequality that shows that positive definite matrices constitute a Riemannian manifold of negative curvature. The idea of the proof leads to generalisations to non-Riemannian metrics, and to connections with some well-known inequalities of mathematical physics.

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