Spencer流形
Spencer manifolds
摘要：
本文从位势论和复分析的观点出发，研究了几乎复流形和超复流形。殆复流形$(M,\mathbf{J}%)$上的全纯坐标概念是由D.斯宾塞对于超复流形，我们引入了超全纯函数的概念，并发展了一些类似的表述。椭圆型方程是以不同于D.斯宾塞一般来说，我们在这里只描述发展理论的形式方面。
英文摘要：
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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