TWISTOR SPACES, PLURIHARMONIC MAPS AND HARMONIC MORPHISMS

2008 ◽  
Vol 60 (3) ◽  
pp. 367-385 ◽  
Author(s):  
B. A. Simoes ◽  
M. Svensson
Keyword(s):  
Harmonic Morphisms ◽  
Twistor Spaces ◽  
Pluriharmonic Maps

scholarly journals Harmonic morphisms from the classical compact semisimple Lie groups

2007 ◽  
Vol 33 (4) ◽  
pp. 343-356 ◽  
Author(s):  
Sigmundur Gudmundsson ◽  
Anna Sakovich
Keyword(s):  
Lie Groups ◽  
Harmonic Morphisms ◽  
Semisimple Lie Groups

scholarly journals Generalized almost even-Clifford manifolds and their twistor spaces

2021 ◽  
Vol 8 (1) ◽  
pp. 96-124
Author(s):  
Luis Fernando Hernández-Moguel ◽  
Rafael Herrera
Keyword(s):  
Twistor Space ◽  
Complex Structure ◽  
Twistor Spaces ◽  
Recent Interest ◽  
Generalized Complex Structure ◽  
Generalized Complex ◽  
Space Construction ◽  
Clifford Structures

Abstract Motivated by the recent interest in even-Clifford structures and in generalized complex and quaternionic geometries, we introduce the notion of generalized almost even-Clifford structure. We generalize the Arizmendi-Hadfield twistor space construction on even-Clifford manifolds to this setting and show that such a twistor space admits a generalized complex structure under certain conditions.

Harmonic maps and harmonic morphisms

1999 ◽  
Vol 94 (2) ◽  
pp. 1263-1269 ◽  
Author(s):  
J. C. Wood
Keyword(s):  
Harmonic Maps ◽  
Harmonic Morphisms

On holomorphic harmonic morphisms

2002 ◽  
Vol 107 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Martin Svensson
Keyword(s):  
Harmonic Morphisms

scholarly journals Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions

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.

Harmonic Morphisms, Seifert Fibre Spaces and Conformal Foliations

1992 ◽  
Vol s3-64 (1) ◽  
pp. 170-196 ◽  
Author(s):  
P. Baird ◽  
J. C. Wood
Keyword(s):  
Harmonic Morphisms

scholarly journals KNOT SINGULARITIES OF HARMONIC MORPHISMS

2001 ◽  
Vol 44 (1) ◽  
pp. 71-85 ◽  
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

Harmonic morphisms from quaternionic projective spaces

1995 ◽  
Vol 56 (3) ◽  
pp. 327-332 ◽  
Author(s):  
Sigmundur Gudmundsson
Keyword(s):  
Projective Spaces ◽  
Harmonic Morphisms
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