Cohomogeneity One Expanding Ricci Solitons and the Expander Degree

The HADES seminar on Tuesday, March 3rd, will be at 3:30pm in Room 740.

Speaker: Abishek Rajan

Abstract: We consider the space of smooth gradient expanding Ricci soliton structures on $S^1\times \mathbb R^3$ and $S^2\times \mathbb R^2$ which are invariant under the action of $SO(3)\times SO(2)$ . In the case of each topology, there exists a 2-parameter family of cohomogeneity one solitons asymptotic to cones over the link $S^2\times S^1$ , as constructed by Nienhaus-Wink and Buzano-Dancer-Gallaugher-Wang. Analogous to work of Bamler and Chen, we define a notion of expander degree for these cohomogeneity one solitons through a properness result. We then proceed to calculate this cohomogeneity one expander degree in the cases of the specific topologies

Harmonic Analysis and Differential Equations Seminar

Math Department Seminar

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