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

J-M Burel; Sigmundur Gudmundsson

doi:10.1017/S0305004103007060

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

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Sammanfattning

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.

Originalspråk	engelska
Sidor (från-till)	247-255
Tidskrift	Mathematical Proceedings of the Cambridge Philosophical Society
Volym	136
DOI	https://doi.org/10.1017/S0305004103007060
Status	Published - 2004

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Geometri

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10.1017/S0305004103007060

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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",

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T1 - On the geometry of the Gauss map of conformal foliations by lines

AU - Burel, J-M

AU - Gudmundsson, Sigmundur

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

U2 - 10.1017/S0305004103007060

DO - 10.1017/S0305004103007060

M3 - Article

SN - 1469-8064

VL - 136

SP - 247

EP - 255

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

ER -

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

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