×

A Newlander-Nirenberg theorem for supermanifolds. (English) Zbl 0679.58008

Summary: A supermanifold version of the Newlander-Nirenberg theorem is proven. The classical Newlander-Nirenberg theorem states the conditions under which an almost complex structure on a differentiable manifold gives rise to a complex structure. A definition is given here of an almost complex structure on a differentiable supermanifold along with the conditions under which this gives rise to a complex structure on the supermanifold.

MSC:

58C50 Analysis on supermanifolds or graded manifolds
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] DOI: 10.2307/1970051 · Zbl 0079.16102 · doi:10.2307/1970051
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.