Harmonic Morphisms, Harmonic Maps and Related Topics

Front Cover
Christopher Kum Anand, Paul Baird, John Colin Wood, Eric Loubeau
CRC Press, Oct 13, 1999 - Mathematics - 328 pages
The subject of harmonic morphisms is relatively new but has attracted a huge worldwide following. Mathematicians, young researchers and distinguished experts came from all corners of the globe to the City of Brest - site of the first, international conference devoted to the fledgling but dynamic field of harmonic morphisms. Harmonic Morphisms, Harmonic Maps, and Related Topics reports the proceedings of that conference, forms the first work primarily devoted to harmonic morphisms, bringing together contributions from the founders of the subject, leading specialists, and experts in other related fields.

Starting with "The Beginnings of Harmonic Morphisms," which provides the essential background, the first section includes papers on the stability of harmonic morphisms, global properties, harmonic polynomial morphisms, Bochner technique, f-structures, symplectic harmonic morphisms, and discrete harmonic morphisms. The second section addresses the wider domain of harmonic maps and contains some of the most recent results on harmonic maps and surfaces. The final section highlights the rapidly developing subject of constant mean curvature surfaces.

Harmonic Morphisms, Harmonic Maps, and Related Topics offers a coherent, balanced account of this fast-growing subject that furnishes a vital reference for anyone working in the field.
 

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Contents

Harmonic morphisms via deformation of metrics for horizontally con
13
On the stability of harmonic morphisms
31
On the construction of harmonic morphisms from Euclidean spaces
47
Harmonic polynomial morphisms and Milnor fibrations
61
Quasiharmonic maps between almost symplectic manifolds
75
A discrete analogue of the harmonic morphism
97
Timedependent conservation laws and symmetries for classical
113
Harmonic maps and morphisms from spheres and deformed spheres
129
Harmonic extensions of quasiconformal maps to hyperbolic space
147
Harmonic sequences of harmonic 2surfaces in Grassmann manifolds
175
Gaugetheoretic equations for symmetric spaces and certain minimal
193
Moduli spaces of solutions to the gaugetheoretic equations
209
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