Subelliptic harmonic maps, morphisms, and vector fields


We review the salient properties of subelliptic harmonic maps and morphisms, both from a domain in ℝN endowed with a Hörmander system and from a strictly pseudoconvex CR manifold. We also report on several generalizations of harmonic morphisms such as heat equation morphisms from a CR manifold and b-harmonic morphisms. We discuss subelliptic harmonic vector fields within pseudohermitian geometry.

DOI Code: 10.1285/i15900932v28n1supplp131

Keywords: subelliptic harmonic map; heat equation morphism

Classification: 32V05; 35H20; 53C43

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