Functional Analysis techniques in Optimization and Metrization problems
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We give an introduction on the main subjects of metric geometry, derived (conceptually) from the Riemannian theory, in the setting of Lie groups groups G modeled by locally convex spaces, and admitting continuous Finsler metrics. The focus is put in the functional analysis techniques, since such norms are usually not differentiable and the variational calculus is not at hand.
KeywordsKeywords. Lie group locally convex space Finsler metric invariant metric geodesic one-parameter group isometry group
Mathematics Subject Classification (2000)Primary 22E65 58B20 Secondary 53C22 47B10 58D05
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