Hodge—dirac operators for hyperbolic spaces

DOI10.1080/17476930008815254zbMath1020.30054OpenAlexW2068499307MaRDI QIDQ2723688

Paula Cerejeiras, B.Gilligan

Publication date: 8 July 2001

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930008815254

zbMATH Keywords

Laplace-Beltrami operatorCauchy-Riemann equationsPoincaré modelEuclidean Dirac operatorhyperbolically harmonic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Elliptic equations on manifolds, general theory (58J05)

Related Items (5)

Clifford analysis on projective hyperbolic space II ⋮ The groups of two by two matrices in double and dual numbers, and associated Möbius transformations ⋮ Harmonic forms on conformal Euclidean manifolds: the Clifford multivector approach ⋮ Reproducing properties of hyperbolically-harmonic and -monogenic functions ⋮ Function theory for Laplace and Dirac-Hodge operators in hyperbolic space

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