Smooth deformation of holomorphic sections of a Riemannian almost Hermitian fiber bundle through harmonic sections. (English) Zbl 1538.53043
Summary: In this paper we give in the context of sections of a (Riemannian) almost Hermitian fiber bundle a reformulation of a theory of deformation linked to harmonic maps between almost Hermitian manifolds developped by A. Lichnerowicz [in: Sympos. Math., Roma 3, Probl. Evolut. Sist. solare, Nov. 1968 e Geometria, Febb. 1969, 341–402 (1970; Zbl 0193.50101)].
MSC:
53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
53C55 | Global differential geometry of Hermitian and Kählerian manifolds |
55R10 | Fiber bundles in algebraic topology |
Keywords:
almost Hermitian fiber bundle; vertical tension field; holomorphic sections; harmonic sectionsCitations:
Zbl 0193.50101References:
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