harmonic morphisms
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Complex-Valued (p, q)-Harmonic Morphisms from Riemannian Manifolds

Journal of Geometric Analysis ◽

10.1007/s12220-021-00685-2 ◽

2021 ◽

Author(s):

Elsa Ghandour ◽

Sigmundur Gudmundsson

Keyword(s):

Riemannian Manifolds ◽

Harmonic Morphisms ◽

Natural Notion ◽

Complex Valued ◽

Special Case

AbstractWe introduce the natural notion of (p, q)-harmonic morphisms between Riemannian manifolds. This unifies several theories that have been studied during the last decades. We then study the special case when the maps involved are complex-valued. For these we find a characterisation and provide new non-trivial examples in important cases.

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Conformal foliations on Lie groups and complex-valued harmonic morphisms

Journal of Geometry and Physics ◽

10.1016/j.geomphys.2020.103940 ◽

2021 ◽

Vol 159 ◽

pp. 103940

Author(s):

Elsa Ghandour ◽

Sigmundur Gudmundsson ◽

Thomas B. Turner

Keyword(s):

Lie Groups ◽

Harmonic Morphisms ◽

Complex Valued

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fLk-Harmonic Maps and fLk-Harmonic Morphisms

Acta Mathematica Vietnamica ◽

10.1007/s40306-020-00392-0 ◽

2020 ◽

Author(s):

Mehran Aminian ◽

Mehran Namjoo

Keyword(s):

Harmonic Maps ◽

Harmonic Morphisms

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Singular fibres of harmonic morphisms on S4

Differential Geometry and its Applications ◽

10.1016/j.difgeo.2019.06.006 ◽

2019 ◽

Vol 67 ◽

pp. 101550

Author(s):

Ali Makki ◽

Marc Soret ◽

Marina Ville

Keyword(s):

Harmonic Morphisms

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$V$-harmonic morphisms between Riemannian manifolds

Proceedings of the American Mathematical Society ◽

10.1090/proc/14811 ◽

2019 ◽

Vol 148 (3) ◽

pp. 1351-1361

Author(s):

Guangwen Zhao

Keyword(s):

Riemannian Manifolds ◽

Harmonic Morphisms

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Harmonic morphisms and the Penrose–Ward transform

Rendiconti Lincei - Matematica e Applicazioni ◽

10.4171/rlm/841 ◽

2019 ◽

Vol 30 (1) ◽

pp. 175-194

Author(s):

Radu Pantilie

Keyword(s):

Harmonic Morphisms

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Generalized harmonic morphisms and horizontally weakly conformal biharmonic maps

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.04.044 ◽

2018 ◽

Vol 464 (1) ◽

pp. 924-938 ◽

Cited By ~ 1

Author(s):

Elsa Ghandour ◽

Ye-Lin Ou

Keyword(s):

Harmonic Morphisms ◽

Biharmonic Maps

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Harmonic morphisms

Divisors and Sandpiles ◽

10.1090/mbk/114/10 ◽

2018 ◽

pp. 191-209

Keyword(s):

Harmonic Morphisms

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Harmonic morphisms and moment maps on hyper-Kähler manifolds

manuscripta mathematica ◽

10.1007/s00229-016-0894-3 ◽

2016 ◽

Vol 153 (3-4) ◽

pp. 373-388

Author(s):

M. Benyounes ◽

E. Loubeau ◽

R. Pantilie

Keyword(s):

Kähler Manifolds ◽

Harmonic Morphisms ◽

Kahler Manifolds ◽

Moment Maps

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General f-harmonic morphisms

Arab Journal of Mathematical Sciences ◽

10.1016/j.ajmsc.2016.02.001 ◽

2016 ◽

Vol 22 (2) ◽

pp. 275-284 ◽

Cited By ~ 1

Author(s):

Nour Elhouda Djaa ◽

Ahmed Mohamed Cherif

Keyword(s):

Harmonic Morphisms

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