Harmonic forms on conformal Euclidean manifolds: the Clifford multivector approach

DOI10.1007/s00006-011-0297-1zbMath1267.30104OpenAlexW1990662624WikidataQ125941094 ScholiaQ125941094MaRDI QIDQ430757

Heikki Orelma

Publication date: 26 June 2012

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

Full work available at URL: https://doi.org/10.1007/s00006-011-0297-1

zbMATH Keywords

Laplace operatorharmonic differential formClifford analysisHodge-de Rham operatormodified Dirac operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (5)

General integral formulas for \(k\)-hyper-mono-genic functions ⋮ Vekua systems in hyperbolic harmonic analysis ⋮ Homogeneous \((\alpha,k)\)-polynomial solutions of the fractional Riesz system in hyperbolic space ⋮ Hypermonogenic functions of two vector variables ⋮ On Vekua systems and their connections to hyperbolic function theory in the plane

Cites Work

• Hodge—dirac operators for hyperbolic spaces
• Monogenic Differential Calculus
• Monogenic vector fields on the poincaré manifold
• A Differential Form Approach to Dirac Operators on Surfaces
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