مشخصات پژوهش

صفحه نخست /On the r-Stability Index of ...
عنوان
On the r-Stability Index of r-Maximal Closed Hypersurfaces in de Sitter Spaces
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Spacelike hypersurface, r-index, stability, de Sitter space
چکیده
It is well-known that some minimal (or maximal) hypersurfaces are stable. However, there is a growing recognition on unstable minimal (or maximal) hypersurfaces by introducing the concept of index of stability. Firstly, the index of stability for minimal hypersurfaces in the Euclidean n-sphere has been introduced by J. Simons [20], which is followed recently by many people (see for instance [3, 9, 18, 21]). Also, Barros and Sousa in [10] have payed attention to the concept of index of r-stability (as the r-extension of index of stability) on r-minimal hypersurfaces in the Euclidean n-sphere. Thy gave low bounds for r-stability index ofr-minimal n-dimensional closed hypersurfaces in S n +1. In this paper we give low bounds for the r-stability index ofr-maximal closed spacelike hypersurfaces in the de Sitter space S1n +1
پژوهشگران قربانعلی حقیقت دوست بناب (نفر اول)، بهزاد اسماعیلی (نفر دوم)، فیروز پاشایی (نفر سوم)