A no expanding breather theorem for noncompact Ricci flows

Abstract

In this note we show that, under certain curvature positivity conditions (the weak $\mathrm{PIC}-2$ condition or the nonnegative bisectional curvature condition), a complete and noncompact expanding breather of the Ricci flow is also an expanding gradient Ricci soliton. This is the first no expanding breather theorem in the noncompact category.

11 pages

References in corpus (1)

• Perelman-type no breather theorem for noncompact Ricci flows