Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

Construction of harmonic maps between pseudo-Riemannian spheres and hyperbolic spaces


Author: J. J. Konderak
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
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58E20

Retrieve articles in all journals with MSC: 58E20


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-0993755-2
Keywords: pseudo-Riemannian sphere and hyperbolic space, harmonic map, orthogonal multiplication, Clifford algebra
Article copyright: © Copyright 1990 American Mathematical Society

American Mathematical Society