Harmonic Morphisms in Harmonic Mathematics

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.

ISBN 1584880325   Volumes 1 ISBN13 9781584880325 (What's this?)   Weight (grammes) 476 Publisher Taylor & Francis Ltd   Published in London Imprint Chapman & Hall/CRC   Series editor Brezis, Haim (Universite de Paris, France), Brezis, Haim (Universite de Paris, France), Brezis, Haim Format Paperback   Series ISSN 413 Publication date 13 Oct 1999   Series title Chapman & Hall/CRC Research Notes in Mathematics Series Library of Congress QA169   Height (mm) 235 DEWEY 514   Width (mm) 156 DEWEY edition DC21   Spine width (mm) 19 Pages 328   Academic level Undergraduate, Postgraduate, Professional / Scholarly

		Preface in English
		Preface en francais
		Conference Picture
		List of Participants
		The beginnings of harmonic morphisms by Bent Fuglede		3
		Harmonic morphisms via deformation of metrics for horizontally conformal maps by Xiaohuan Mo		13
		On submersive harmonic morphisms by Radu Pantilic		23
		On the stability of harmonic morphisms by Stefano Montaldo		31
		Applications of the Bochner technique to harmonic morphisms between simply-connected space forms by M. Tahir Mustafa		39
		On the construction of harmonic morphisms from Euclidean spaces by John C. Wood		47
		Harmonic polynomial morphisms and Milnor fibrations by Paul Baird and Ye-Lin Ou		61
		Harmonic maps and morphisms on metric f-manifolds with parallelizable kernel by Stere Ianus and Anna Maria Pastore		67
		Quasi-harmonic maps between almost symplectic manifolds by Paul Baird and Cornelia-Livia Bejan		75
		A discrete analogue of the harmonic morphism by Hajime Urakawa		97
		Harmonic morphisms of metric graphs by Christopher Kumar Anand		109
		Time-dependent conservation laws and symmetries for classical mechanics and heat equations by Augusto Brandao and Torbjorn Kolsrud		113
		Harmonic maps and morphisms from spheres and deformed spheres by Yuxin Dong		129
		S[superscript 1]-valued harmonic maps with high topological degree by Etienne Sandier and Marc Soret		141
		Harmonic extensions of quasi-conformal maps to hyperbolic space by Robert Hardt and Michael Wolf		147
		Harmonic mappings from Riemann surfaces by Jingyi Chen		153
		On the normal bundle of minimal surfaces in almost Kahler 4-manifolds by Marina Ville		159
		More...

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