Harmonic morphisms | ScienceGate

Harmonic morphisms from the classical compact semisimple Lie groups

Annals of Global Analysis and Geometry ◽

10.1007/s10455-007-9090-8 ◽

2007 ◽

Vol 33 (4) ◽

pp. 343-356 ◽

Cited By ~ 6

Author(s):

Sigmundur Gudmundsson ◽

Anna Sakovich

Keyword(s):

Lie Groups ◽

Harmonic Morphisms ◽

Semisimple Lie Groups

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Harmonic maps and harmonic morphisms

Journal of Mathematical Sciences ◽

10.1007/bf02364883 ◽

1999 ◽

Vol 94 (2) ◽

pp. 1263-1269 ◽

Cited By ~ 3

Author(s):

J. C. Wood

Keyword(s):

Harmonic Maps ◽

Harmonic Morphisms

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On holomorphic harmonic morphisms

manuscripta mathematica ◽

10.1007/s002290100210 ◽

2002 ◽

Vol 107 (1) ◽

pp. 1-13 ◽

Cited By ~ 4

Author(s):

Martin Svensson

Keyword(s):

Harmonic Morphisms

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Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions

Abstract and Applied Analysis ◽

10.1155/2012/315757 ◽

2012 ◽

Vol 2012 ◽

pp. 1-8

Author(s):

M. T. Mustafa

Keyword(s):

Harmonic Function ◽

Riemannian Manifolds ◽

Harmonic Functions ◽

Horizontal Component ◽

Harmonic Morphisms

For Riemannian manifoldsMandN, admitting a submersionϕwith compact fibres, we introduce the projection of a function via its decomposition into horizontal and vertical components. By comparing the Laplacians onMandN, we determine conditions under which a harmonic function onU=ϕ−1(V)⊂Mprojects down, via its horizontal component, to a harmonic function onV⊂N.

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Harmonic Morphisms, Seifert Fibre Spaces and Conformal Foliations

Proceedings of the London Mathematical Society ◽

10.1112/plms/s3-64.1.170 ◽

1992 ◽

Vol s3-64 (1) ◽

pp. 170-196 ◽

Cited By ~ 14

Author(s):

P. Baird ◽

J. C. Wood

Keyword(s):

Harmonic Morphisms

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KNOT SINGULARITIES OF HARMONIC MORPHISMS

Proceedings of the Edinburgh Mathematical Society ◽

10.1017/s0013091598001278 ◽

2001 ◽

Vol 44 (1) ◽

pp. 71-85 ◽

Cited By ~ 1

Author(s):

Paul Baird

Keyword(s):

Riemann Surface ◽

Complex Surface ◽

Subject Classification ◽

Harmonic Morphisms ◽

Singular Set ◽

Harmonic Morphism ◽

Complex Curves ◽

Analytic Curve ◽

Primary 57M25 ◽

Straight Lines

AbstractA harmonic morphism defined on $\mathbb{R}^3$ with values in a Riemann surface is characterized in terms of a complex analytic curve in the complex surface of straight lines. We show how, to a certain family of complex curves, the singular set of the corresponding harmonic morphism has an isolated component consisting of a continuously embedded knot.AMS 2000 Mathematics subject classification: Primary 57M25. Secondary 57M12; 58E20

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Harmonic morphisms from quaternionic projective spaces

Geometriae Dedicata ◽

10.1007/bf01263573 ◽

1995 ◽

Vol 56 (3) ◽

pp. 327-332 ◽

Cited By ~ 1

Author(s):

Sigmundur Gudmundsson

Keyword(s):

Projective Spaces ◽

Harmonic Morphisms

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Harmonic Morphisms, conformal foliations and Seifert fibre spaces

Geometry of Low-Dimensional Manifolds ◽

10.1017/cbo9780511629334.018 ◽

1991 ◽

pp. 247-259

Author(s):

John C. Wood

Keyword(s):

Harmonic Morphisms

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Harmonic morphisms between Weyl spaces and twistorial maps

Communications in Analysis and Geometry ◽

10.4310/cag.2006.v14.n5.a2 ◽

2006 ◽

Vol 14 (5) ◽

pp. 847-881 ◽

Cited By ~ 7

Author(s):

Eric Loubeau ◽

Radu Pantilie

Keyword(s):

Harmonic Morphisms ◽

Weyl Spaces

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A note on exponentially harmonic morphisms

Glasgow Mathematical Journal ◽

10.1017/s0017089500010041 ◽

2000 ◽

Vol 42 (1) ◽

pp. 25-29 ◽

Cited By ~ 1

Author(s):

Eric Loubeau ◽

Stefano Montaldo

Keyword(s):

Subject Classification ◽

Harmonic Morphisms ◽

Riemannian Submersions

We prove that exponentially harmonic morphisms are precisely the Riemannian submersions with minimal fibres.1991 Mathematics Subject Classification 58E20.

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