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Multivector functionals

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Abstract

In this paper we introduce the concept ofmultivector functionals. We study some possible kinds of derivative operators that can act in interesting ways on these objects such as, e.g., the A-directional derivative and the generalized concepts of curl, divergence and gradient. The derivation rules are rigorously proved. Since the subject of this paper has not been developed in previous literature, we work out in details several examples of derivation of multivector functionals.

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Bibliography

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Authors and Affiliations

  1. Institute of Mathematics, Statistics and Scientific Computation, IMECC-UNICAMP, CP 6065, 13083-970, Campinas, SP, Brazil

    A. M. Moya, V. V. Fernández & W. A. Rodrigues

  2. Department of Mathematical Sciences, University of Liverpool, L69 3BX, Liverpool, UK

    A. M. Moya, V. V. Fernández & W. A. Rodrigues

Authors
  1. A. M. Moya
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  2. V. V. Fernández
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  3. W. A. Rodrigues
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Moya, A.M., Fernández, V.V. & Rodrigues, W.A. Multivector functionals. AACA 11 (Suppl 3), 93–103 (2001). https://doi.org/10.1007/BF03219150

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  • DOI: https://doi.org/10.1007/BF03219150

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