Geometric constrained variational calculus. II: The second variation (Part I)

DOI10.1142/S0219887815501327zbMath1345.49025OpenAlexW2237070658MaRDI QIDQ5744179

Enrico M. Pagani, Gianvittorio Luria, Danilo Bruno, Enrico Massa

Publication date: 17 February 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887815501327

zbMATH Keywords

second variationminimalitygeometric constrained calculus of variations

Mathematics Subject Classification ID

Geometric methods (93B27) Nonholonomic systems related to the dynamics of a system of particles (70F25) Optimality conditions for problems involving ordinary differential equations (49K15) Existence theories in calculus of variations and optimal control (49J99)

Related Items (3)

Deformation of piecewise differentiable curves in constrained variational calculus ⋮ On the notion of Jacobi fields in constrained calculus of variations ⋮ Geometric constrained variational calculus. III: The second variation (Part II)

Cites Work

• Geometric optimal control. Theory, methods and examples
• ON THE GAUGE STRUCTURE OF THE CALCULUS OF VARIATIONS WITH CONSTRAINTS
• Geometric constrained variational calculus I: Piecewise smooth extremals
• A Matrix Differential Equation of Riccati Type
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