مشخصات پژوهش

In mathematical physics,the stable hypersurfaces of constant mean curvature in pseudo-Euclidiansphere shavebeenin- terested by many researchers on generalrelativity.As an extension, the notion of index of stability has been introduced for unstable ones. The stability index (as a rate of distance from being stable) is defined in terms of the Laplace operator Δ as the trace of Hes- sian tensor.In this paper,we study an extension of stability index (namely,1-index)of hypersurfaces with constant scalarcurvature in pseudo-Euclidian sphere Sn+1 1 . 1-index is defined based on the Cheng-Yauoperator 2 as a natural extension of Δ.