I will state and prove the Riemannian manifold version of the inequality I have proven two years ago in bounded flat domains.
An integral of the square of a Hessian of a square root of a positive function $f$ on a Riemannian compact manifold without boundary is estimated by the product of the function and the square of a Hessian of the logarithm of a function. I will discuss the potential importance in view of the Perelman's functional in Ricci flow analysis. The talk is based on a common paper with M. Gaczkowski and W. Krynski.
Meeting Id: 927 7351 9606 Password: 268545