On ۱-index of Unstable Spacelike Hypersurfaces in Pseudo-Euclidean Spheres
سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 211
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شناسه ملی سند علمی:
JR_SCMA-18-4_007
تاریخ نمایه سازی: 21 آبان 1401
چکیده مقاله:
In mathematical physics, the stable hypersurfaces of constant mean curvature in pseudo-Euclidian spheres have been interested by many researchers on general relativity. 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 defined in terms of the Laplace operator $\Delta$ as the trace of Hessian tensor. In this paper, we study an extension of stability index(namely, ۱-index) of hypersurfaces with constant scalar curvature in pseudo-Euclidian sphere $\S_۱^{n+۱}$. ۱-index is defined based on the Cheng-Yau operator $\Box$ as a natural extension of $\Delta$.
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