Lectures on Finslerian Geometry

Overview & Synopsis

This note contains below topics, Calculus of variations, Review of differential calculus on Banach spaces, The minimum problem, EulerLagrange equations in finite dimension, Hamiltonian description, The Noether theorem, The Linear Sigma model, Hadamard s variation formula for the Green s function, Symplectic Geometry, Symplectic Manifolds, Symplectic form on the Cotangent Bundle of a Manifold, Finslerian Geometry, Finsler Metric, Formulas in Riemannian Geometry, Review of Tensor calculus, Locally Minkowski space.