Palestras e Seminários
12/09/2025
16:30
4-003
Palestrante: Valter Borges
Responsável: Daniel Gomes Fadel (daniel.fadel@icmc.usp.br)
Seminário de Geometria Diferencial e Análise Geométrica
Resumo/Abstract: A warped product Ricci soliton is a gradient Ricci soliton which is isometric to a warped product $M^n\times_{h}F^m$, where $M$ is the base, $F$ is the fiber, and $h:M\rightarrow\mathbb{R}$ is the warping function. Through the work of Ivey, Dancer-Wang, and others, we have examples of complete gradient Ricci solitons with this geometry, which are either steady or expanding. However, no examples in the shrinking case have shown up until this moment.
This talk aims to present non-existence results concerning warped product shrinking gradient Ricci solitons, including contributions given by the speaker.
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