TY - JOUR
ID - 248103
TI - On 1-index of Unstable Spacelike Hypersurfaces in Pseudo-Euclidean Spheres
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Esmaeili, Behzad
AU - Pashaie, Firooz
AU - Haghighatdoost, Ghorbanali
AD - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
AD - Department of Mathematics, Faculty of Sciences, University of Maragheh, P.O.Box 55181-83111, Maragheh,
Iran.
AD - Department of Mathematics, Azarbaijan Shahid Madani
University, P.O.Box 53714-161, Tabriz, Iran.
Y1 - 2021
PY - 2021
VL - 18
IS - 4
SP - 97
EP - 111
KW - Spacelike
KW - Newton transformation
KW - Lorentz-Minkowski space
KW - 1-minimal hypersurface
DO - 10.22130/scma.2021.541680.1009
N2 - 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 $\Delta$.
UR - https://scma.maragheh.ac.ir/article_248103.html
L1 - https://scma.maragheh.ac.ir/article_248103_e470e8ed71d63e0d14235a8da8e7b331.pdf
ER -