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Applications of Lie groups to differential equations Peter J. Olver
Publisher: Springer-Verlag

Olver 108 Holomorphic Functions and Integral Representations in Several Complex Variables, R. Here, only a basic knowledge of algebra, calculus and ordinary differential equations is required. Applications of Lie groups to differential equations by Peter J. This implies that it can be described by functions depending only on time and that the Einstein equations reduce to a system of ordinary differential equations. 107 Applications of Lie Groups to Differential Equations, Peter J. There is also a good article on the subject,. In mathematical physics and other textbooks we find the Legendre polynomials are solutions of Legendre's differential equations. The third part is more advanced and introduces into matrix Lie groups and Lie algebras the representation theory of groups, symplectic and Poisson geometry, and applications of complex analysis in surface theory. Http://www.cds.caltech.edu/~marin/pubs/KoCrDe2008.pdf. In particular, Chapter 5 contains short introductions to hyperbolic geometry and geometrical principles of special relativity theory. The details of these equations depend on the group defining the . With these assumptions the unknown can naturally be considered as a one-parameter family of left-invariant Riemannian metrics on a three-dimensional Lie group.