Seminario EDP UAM-ICMAT
On the existence and Classification of k-Yamabe Gradient Solitons
Ponente: María Fernanda Espinal (Centro de Modelamiento Matemático, Universidad de Chile)Fecha: jueves 05 de febrero de 2026 - 12:45Lugar: Aula 520, Módulo 17, Departamento de Matemáticas, UAM
Resumen:
The k-Yamabe flow is a fully non-linear extension to the Yamabe flow that appears naturally in problems related to topological classification in higher dimensions. In this talk we describe the construction, classification and asymptotic behavior of radially symmetric gradient k-Yamabe solitons that are locally conformally flat, these are special solutions to this flow that play a central role in the theory. Our study extends the results obtained by P. Daskalopouolos and N. Sesum in the case n > 2k. Joint work with Mariel Sáez.
