Gradient Ricci solitons are self-similar solutions to the Ricci flow, characterised by a Riemannian manifold (M,g) endowed with a smooth potential function f satisfying the equation Ric + ∇²f = λg for ...
Gradient estimates and differential inequalities form a cornerstone of modern geometric analysis, providing precise control over the rate of change of solutions to elliptic and parabolic equations on ...