This article establishes the precise asymptoticsEum(t, x)(i →∞ or m →∞)for the stochastic heat equation■u/■t(t,x)=1/2△u(t,x)+u(t,x)■w/■t(t,x)with the t
We show that closed shrinking gradient Ricci solitons with positive Ricci curvature and sufficiently pinched Weyl tensor are Einstein. When Weyl tensor vanishes