On the existence of harmonic morphisms from symmetric spaces of rank one

Sigmundur Gudmundsson

On the existence of harmonic morphisms from symmetric spaces of rank one

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In this paper we give a unified framework for constructing harmonic morphisms from the irreducible Riemannian symmetric spaces HHn, CHn, RH2n+l, HPn, CPn and RP2n+1 of rank one. Using this we give a positive answer to the global existence problem for the non-compact hyperbolic cases.

Originalspråk	engelska
Sidor (från-till)	421-433
Tidskrift	Manuscripta Mathematica
Volym	93
Nummer	4
Status	Published - 1997

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title = "On the existence of harmonic morphisms from symmetric spaces of rank one",

abstract = "In this paper we give a unified framework for constructing harmonic morphisms from the irreducible Riemannian symmetric spaces HHn, CHn, RH2n+l, HPn, CPn and RP2n+1 of rank one. Using this we give a positive answer to the global existence problem for the non-compact hyperbolic cases.",

keywords = "MAPS, FORMS, MANIFOLDS, PROJECTIVE SPACES, CONFORMAL FOLIATIONS, MINIMAL SUBMANIFOLDS",

author = "Sigmundur Gudmundsson",

year = "1997",

language = "English",

volume = "93",

pages = "421--433",

journal = "Manuscripta Mathematica",

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T1 - On the existence of harmonic morphisms from symmetric spaces of rank one

AU - Gudmundsson, Sigmundur

PY - 1997

Y1 - 1997

N2 - In this paper we give a unified framework for constructing harmonic morphisms from the irreducible Riemannian symmetric spaces HHn, CHn, RH2n+l, HPn, CPn and RP2n+1 of rank one. Using this we give a positive answer to the global existence problem for the non-compact hyperbolic cases.

AB - In this paper we give a unified framework for constructing harmonic morphisms from the irreducible Riemannian symmetric spaces HHn, CHn, RH2n+l, HPn, CPn and RP2n+1 of rank one. Using this we give a positive answer to the global existence problem for the non-compact hyperbolic cases.

KW - MAPS

KW - FORMS

KW - MANIFOLDS

KW - PROJECTIVE SPACES

KW - CONFORMAL FOLIATIONS

KW - MINIMAL SUBMANIFOLDS

M3 - Article

VL - 93

SP - 421

EP - 433

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 1432-1785

IS - 4

ER -

On the existence of harmonic morphisms from symmetric spaces of rank one

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Ämnesklassifikation (UKÄ)

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