On estimates for fully nonlinear parabolic equations on Riemannian   manifolds
  We present some new ideas to derive {\em a priori} second order estiamtes for a wide class of fully nonlinear parabolic equations. Our methods, which produce new existence results for the initial-boundary value problems in $\bfR^n$, are powerful enough to work in general Riemannian manifolds. 
Bo Guan, Shujun Shi, and Zhenan Sui
math.AP math.DG