Linear Stability of Ricci Nilsolitons
نویسندگان
چکیده
As a step toward understanding the analytic behavior of TypeIII Ricci flow singularities, i.e. immortal solutions that exhibit |Rm | ≤ C/t curvature decay, we examine the linearization of an equivalent flow at certain fixed points discovered recently by Baird–Danielo and Lott: non-gradient homogeneous Ricci solitons on nilpotent Lie groups. We show that the linearized operators at these fixed points are linearly stable and generate C0 semigroups.
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