H 3 as a harmonic branched covering of E 3

In this paper, we show that the branched covering space map p : H 3 → E 3 between the Riemannian manifolds H 3 and E 3 , the hyperbolic space and the Euclidean space, can be harmonic.

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Bibliographic Details
Published in:Boletín de la Sociedad Matemática Mexicana 2017-10, Vol.23 (2), p.853-868
Main Authors: Brumfiel, G, Hilden, H, Lozano, M T, Montesinos-Amilibia, J M, Ramírez-Losada, E, Short, H, Tejada, D, Toro, M
Format: Article
Language:English
Subjects:
Euclidean geometry
Euclidean space
Mathematics
Riemann manifold
Online Access:Get full text
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Description
Summary:In this paper, we show that the branched covering space map p : H 3 → E 3 between the Riemannian manifolds H 3 and E 3 , the hyperbolic space and the Euclidean space, can be harmonic.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-016-0114-x