Conformally invariant first order equations, their analysis and geometry

DOI10.1007/BF03219120zbMath1221.81093MaRDI QIDQ638949

Jarolim Bureš

Publication date: 17 September 2011

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) PDEs in connection with quantum mechanics (35Q40) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Twistor theory, double fibrations (complex-analytic aspects) (32L25)

Cites Work

• A Penrose transform for the twistor space of an even dimensional conformally flat Riemannian manifold
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• Monogenic differential operators
• Stein-Weiss operators and ellipticity
• Symmetric analogues of Rarita-Schwinger equations
• Spherical monogenics on the Lie sphere
• Conformally covariant operators in Clifford analysis
• The rarita—schwinger operator and spherical monogenic forms
• A geometric solution of the wave equation in space-time of even dimension
• The generalized Penrose-Ward transform
• Complexified clifford analysis
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
• Invariant operators on manifolds with almost Hermitian symmetric structures, I. Invariant differentiation
• Clifford analysis in two and several vector variables
• On the structure of spinor-valued differential forms
• On the Relative De Rham Sequence
• On a Theory of Particles with Half-Integral Spin
• Rarita-Schwinger type operators in Clifford analysis
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