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Title of Journal: Adv Appl Clifford Algebras

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Abbravation: Advances in Applied Clifford Algebras

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SP Birkhäuser Verlag Basel

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1661-4909

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Harmonic Forms on Conformal Euclidean Manifolds T

Authors: Heikki Orelma
Publish Date: 2011/04/27
Volume: 22, Issue: 1, Pages: 143-158
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Abstract

In this paper we express the theory of harmonic differential forms on conformal Euclidean manifolds in terms of the so called Clifford multivector fields The aim is to give good definitions for d and d operators in Clifford multivector case Using these definitions we derive a formula for the Laplace operator Three fundamental examples are included in the end of the paper and connections to existing theory is discussed

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Other Papers In This Journal:
  1. Twistors in Geometric Algebra
  2. On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems
  3. Geometric Algebra to Model Uncertainties in the Discretizable Molecular Distance Geometry Problem
  4. Half Dirichlet Problems and Decompositions of Poisson Kernels
  5. Differential Operators Associated to the Cauchy-Fueter Operator in Quaternion Algebra
  6. Properties of Solutions to A-Harmonic System and A-Dirac System
  7. Matrix Mechanics of the Relativistic Point Particle and String in Clifford Space
  8. Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics
  9. Operator Identities in q -Deformed Clifford Analysis
  10. Inverse Kinematics for a 6-DOF Walking Humanoid Robot Leg
  11. (1,1)-Forms Acting on Spinors on Kähler Surfaces
  12. Multiplicative Representation of a Hyperbolic non Distributive Algebra
  13. An Efficient Method for Solving Equations in Generalized Quaternion and Octonion Algebras
  14. On the Quaternionic B 2 -Slant Helices in the Euclidean Space E 4
  15. The octonions form an Azumaya algebra in certain braided linear Gr-categories
  16. On the Geometry of the Hyperbolic Scator Space in 1+2 Dimensions
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