A non-relativistic limit of NS-NS gravity

We discuss a particular non-relativistic limit of NS-NS gravity that can be taken at the level action and equations motion, without imposing any geometric constraints by hand. This relies on fact terms diverge in come from Vielbein Einstein-Hilbert term kinetic Kalb-Ramond two-form field cancel against each other. cancelling divergences is target space analogue similar cancellation takes place string sigma model between Wess-Zumino term. The motion leads to one equation more than action, due emergence local scale invariance limit. Some solved invariant constraints. These define so-called Dilatation String Newton-Cartan geometry.