Functional Analysis techniques in Optimization and Metrization problems

DOI10.1007/978-3-030-34072-8_25zbMath1442.22021OpenAlexW2991397022MaRDI QIDQ3294728

Gabriel Larotonda

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34072-8_25

zbMATH Keywords

Lie groupisometry groupgeodesiclocally convex spaceinvariant metricFinsler metricone-parameter group

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Analysis on real and complex Lie groups (22E30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) General theory of distance geometry (51K05)

Related Items (1)

A Finsler geometrical programming approach to the nonlinear complementarity problem of traffic equilibrium

Cites Work

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• The metric geometry of the manifold of Riemannian metrics over a closed manifold
• Towards a Lie theory of locally convex groups
• Curvatures of left invariant metrics on Lie groups
• A Cartan-Hadamard theorem for Banach-Finsler manifolds
• Optimal paths for symmetric actions in the unitary group
• Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces
• Riemannian geometries on spaces of plane curves
• Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Riemannian geometry

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