For entire numbers r and s satisfying 0 ≤ n − 2, we showed that the index of (r, s)-stability a s)-linear Weingarten Clifford torus immersed into (n + 1)-dimensional unit Euclidean sphere, has linear combination their higher order mean curvatures Hr+1 Hs+1 being null, is exactly equal to 3 provided geometric condition involving Hr+2 Hs+2 satisfied.

The main purpose of this article is to examine the role S&P 500 index in predicting volatility China's stock market. Our work based on autoregressive model (AR). We further extend simple benchmark by adding index. Intrasample regression shows that after indicator, overall goodness fit rising, explanatory ability enhanced, and added variables are also very significant. out sample prediction ...