Maria Fernanda Espinal

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math.DG2024

On the existence and classification of $k$ -Yamabe gradient solitons

Maria Fernanda Espinal, Mariel Sáez

In this paper we classify rotationally symmetric conformally flat admissible solitons to the $k$ -Yamabe flow, a fully non-linear version of the Yamabe flow. For $n \geq 2 k$ we prove…

math.DG2024

A gluing construction of singular solutions for a fully non-linear equation in conformal geometry

María Fernanda Espinal, María del Mar González

In this paper we study the $σ_{2}$ --Yamabe equation, $n > 4$ , for solutions with a prescribed singular set $Λ$ given by a disjoint union of closed submanifolds whose dimension is posit…

On the existence and classification of k-Yamabe gradient solitons

A gluing construction of singular solutions for a fully non-linear equation in conformal geometry

On the existence and classification of $k$ -Yamabe gradient solitons