Functional Analysis techniques in Optimization and Metrization problems

Conference paper
Part of the Trends in Mathematics book series (TM)


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.


Keywords. 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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Instituto Argentino de Matemática, “Alberto P. Calderón” (CONICET) adn Departamento de Matemática Facultad de Cs. Exactas y NaturalesUniversidad de Buenos Aires Ciudad Universitaria (1428)CABAArgentina

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