Spencer manifolds

S. Dimiev; R. Lazov; N. Milev

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Spencer manifolds

S. Dimiev·R. Lazov·N. Milev

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Abstract

Almost-complex and hyper-complex manifolds are considered in this paper from the point of view of complex analysis and potential theory. The idea of holomorphic coordinates on an almost-complex manifold $(M,\mathbf{J}%)$ is suggested by D. Spencer. For hypercomplex manifolds we introduce the notion of hyper-holomorphic function and develop some analogous statements. Elliptic equations are developed in a different way than D. Spencer. In general here we describe only the formal aspect of the developed theory.

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BibTeX RIS

S. Dimiev, R. Lazov, N. Milev. 2000-08-15. Spencer manifolds. https://arxiv.org/abs/math/0008106

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