Harmonic morphisms as sphere bundles over compact Riemann surfaces

Sigmundur Gudmundsson

doi:10.1142/S0129167X97000445

Harmonic morphisms as sphere bundles over compact Riemann surfaces

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Sammanfattning

We prove that the projection map of an orientable sphere bundle, over a compact Riemann surface, of any homotopy type can be realized as a harmonic morphism with totally geodesic fibres.

Originalspråk	engelska
Sidor (från-till)	935-942
Tidskrift	International Journal of Mathematics
Volym	8
Nummer	7
DOI	https://doi.org/10.1142/S0129167X97000445
Status	Published - 1997

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title = "Harmonic morphisms as sphere bundles over compact Riemann surfaces",

abstract = "We prove that the projection map of an orientable sphere bundle, over a compact Riemann surface, of any homotopy type can be realized as a harmonic morphism with totally geodesic fibres.",

keywords = "topological sphere bundles, harmonic maps, harmonic morphisms",

author = "Sigmundur Gudmundsson",

year = "1997",

doi = "10.1142/S0129167X97000445",

language = "English",

volume = "8",

pages = "935--942",

journal = "International Journal of Mathematics",

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PY - 1997

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AB - We prove that the projection map of an orientable sphere bundle, over a compact Riemann surface, of any homotopy type can be realized as a harmonic morphism with totally geodesic fibres.

KW - topological sphere bundles

KW - harmonic maps

KW - harmonic morphisms

U2 - 10.1142/S0129167X97000445

DO - 10.1142/S0129167X97000445

M3 - Article

SN - 0129-167X

VL - 8

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JO - International Journal of Mathematics

JF - International Journal of Mathematics

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Harmonic morphisms as sphere bundles over compact Riemann surfaces

Sammanfattning

Ämnesklassifikation (UKÄ)

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