# On the geometry of the Gauss map of conformal foliations by lines

Research output: Contribution to journal › Article

### Bibtex

@article{76f1a70e891d4e2b90cf5ceb35d64048,

title = "On the geometry of the Gauss map of conformal foliations by lines",

abstract = "Let F be an oriented conformal foliation of connected, totally geodesic and 1-dimensional leaves in Rn+1. We prove that if n greater than or equal to 3 then the Gauss map phi: U --> S-n of F is a non-constant n-harmonic morphism if and only if it is a radial projection.",

author = "J-M Burel and Sigmundur Gudmundsson",

year = "2004",

doi = "10.1017/S0305004103007060",

language = "English",

volume = "136",

pages = "247--255",

journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

issn = "1469-8064",

publisher = "Cambridge University Press",

}