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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Construction of harmonic maps between pseudo-Riemannian spheres and hyperbolic spaces
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by J. J. Konderak PDF
Proc. Amer. Math. Soc. 109 (1990), 469-476 Request permission

Abstract:

Defined here is an orthogonal multiplication for vector spaces with indefinite nondegenerate scalar product. This is then used, via the Hopf construction, to obtain harmonic maps between pseudo-Riemannian spheres and hyperbolic spaces. Examples of harmonic maps are constructed using Clifford algebras.
References
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 109 (1990), 469-476
  • MSC: Primary 58E20
  • DOI: https://doi.org/10.1090/S0002-9939-1990-0993755-2
  • MathSciNet review: 993755