Rigidity of compact gradient Ricci almost solitons with boundary
Manifolds with boundary; Conformal vector fields; Gradient Ricci almost
solitons; Warped product.
Let (Mn, g,∇f, λ) be a compact gradient Ricci almost soliton with boundary. In this thesis, we obtain
rigidity theorems for (Mn, g,∇f, λ) so that we can show if it is isometric to a closed hemisphere of an Euclidean sphere,
or a closed Euclidean ball, or a domain in H^n. Furthermore, we apply such theorems to characterize gradient Ricci
almost solitons on warped product M = B ×h F, where B is a compact Riemannian manifold with boundary.