@article {
author = {Esmaeili, Behzad and Pashaie, Firooz and Haghighatdoost, Ghorbanali},
title = {On 1-index of Unstable Spacelike Hypersurfaces in Pseudo-Euclidean Spheres},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {4},
pages = {97-111},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2021.541680.1009},
abstract = {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, 1-index) of hypersurfaces with constant scalar curvature in pseudo-Euclidian sphere $\S_1^{n+1}$. 1-index is defined based on the Cheng-Yau operator $\Box$ as a natural extension of $\Delta$.},
keywords = {Spacelike,Newton transformation,Lorentz-Minkowski space,1-minimal hypersurface},
url = {https://scma.maragheh.ac.ir/article_248103.html},
eprint = {https://scma.maragheh.ac.ir/article_248103_e470e8ed71d63e0d14235a8da8e7b331.pdf}
}