HARMONIC MORPHISMS BETWEEN WEYL SPACES AND TWISTORIAL MAPS II

Eric LOUBEAU; Radu PANTILIE

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HARMONIC MORPHISMS BETWEEN WEYL SPACES AND TWISTORIAL MAPS II

机译：HARMONIC MORPHISMS BETWEEN WEYL SPACES AND TWISTORIAL MAPS II

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We define, on smooth manifolds, the notions of almost twistorial structure and twistorial map, thus providing a unified framework for all known examples of twistor spaces. The condition of being a harmonic morphism naturally appears among the geometric properties of submersive twistorial maps between low-dimensional Weyl spaces endowed with a nonintegrable almost twistorial structure due to Eells and Salamon. This leads to the twistorial characterisation of harmonic morphisms between Weyl spaces of dimensions four and three. Also, we give a thorough description of the twistorial maps with one-dimensional fibres from four-dimensional Weyl spaces endowed with the almost twistorial structure of Eells and Salamon.

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《Annales de l'Institut Fourier》 |2010年第2期|433-453|共21页
作者
Eric LOUBEAU; Radu PANTILIE;
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作者单位

Universite de Bretagne OccidentaleDepartement de MathematiquesLaboratoire C.N.R.S. U.M.R. 6205 6, Avenue Victor Le Gorgeu, CS 9383729238 Brest Cedex 3 (France);

Institutul de Matematica "Simion Stoilow" alAcademiei Romane C.P. 1-764 014700, Bucuresti (Romania);

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正文语种英语
中图分类自然科学总论;
关键词
Harmonic morphism; Weyl space; twistorial map;

HARMONIC MORPHISMS BETWEEN WEYL SPACES AND TWISTORIAL MAPS II

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