We show an equivariant bordism principle for constructing metrics of positive scalar curvature that are invariant under a given group action. Furthermore, we develop a new codimension2 surgery technique which removes singular strata from fixed point free S-manifolds while preserving equivariant positive scalar curvature. These results are applied to derive the following generalization of a resu...

In this paper we study the class of compact K\"ahler manifolds with ${\rm Ric}^\perp>0$. First illustrate examples Ric}^\perp>0$ on C-spaces, and construct ones certain projectivized vector bundles. These show abundance which admit metrics Secondly prove some (algebraic) geometric consequences condition to that is also quite restrictive. Finally last point made evident a classification result i...