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The exponential map of a -metric

✍ Scribed by Kunzinger, Michael; Steinbauer, Roland; Stojković, Milena


Book ID
122325319
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
293 KB
Volume
34
Category
Article
ISSN
0926-2245

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On the exponential metric increasing pro
✍ Rajendra Bhatia 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 189 KB

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 physi