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Abstract
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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.
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