Conformally invariant differential equations and projective geometry
Copyright policy )Conformally invariant differential equations and projective geometry
AbstractWe combine harmonic analysis on certain pseudo-Riemannian symmetric spaces with results on conformally invariant linear and non-linear differential equations. This gives in many cases part of the decomposition of certain representations of the conformal group of a manifold when restricted to the isometry group.
- Massachusetts Institute of Technology United States
Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), Projective differential geometry, Casimir operator, Invariance and symmetry properties for PDEs on manifolds, Laplace-Beltrami operator, representations of the conformal group, pseudo-Riemannian symmetric space, harmonic analysis, Conformal differential geometry, Differential geometry of symmetric spaces, Representations of Lie and linear algebraic groups over real fields: analytic methods, Analysis
Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), Projective differential geometry, Casimir operator, Invariance and symmetry properties for PDEs on manifolds, Laplace-Beltrami operator, representations of the conformal group, pseudo-Riemannian symmetric space, harmonic analysis, Conformal differential geometry, Differential geometry of symmetric spaces, Representations of Lie and linear algebraic groups over real fields: analytic methods, Analysis
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