On Einstein equations on manifolds and supermanifolds
Research output: Contribution to journal › Article
The Einstein equations (EE) are certain conditions on the Riemann tensor on the real Minkowski space M. In the twistor picture, after complexification and compactification M becomes the Grassmannian Gr(2)(4) of 2-dimensional subspaces in the 4-dimensional complex one. Here we answer for which of the classical domains considered as manifolds with G-structure it is possible to impose conditions similar in some sense to EE. The above investigation has its counterpart on superdomains: an analog of the Riemann tensor is defined for any super manifold with G-structure with any Lie supergroup G. We also derive similar analogues of EE on supermanifolds. Our analogs of EE are not what physicists consider as SUGRA (supergravity), for SUGRA see [16,34].
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Nonlinear Mathematical Physics|
|Publication status||Published - 2002|