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On Ricci flat Supermanifolds
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On Ricci flat Supermanifolds
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Paper
On Ricci flat Supermanifolds
2004
Overview
We study the Ricci flatness condition on generic supermanifolds. It has been found recently that when the fermionic complex dimension of the supermanifold is one the vanishing of the super-Ricci curvature implies the bosonic submanifold has vanishing scalar curvature. We prove that this phenomena is only restricted to fermionic complex dimension one. Further we conjecture that for complex fermionic dimension larger than one the Calabi-Yau theorem holds for supermanifolds.
Publisher
Cornell University Library, arXiv.org
Subject
