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math.DG2023
Topology at infinity of complete gradient Schouten solitons
Valter Borges, Hector Rosero-Garcia, João Paulo dos Santos
In this paper, we study ends of complete gradient non-trivial Schouten solitons. Without any additional assumptions, we show the shrinking ones have finitely many ends, and the exp…
math.DG2023
Ends of shrinking gradient -Einstein solitons
Valter Borges, Hector Rosero-García, João Paulo dos Santos
We prove that all ends of a gradient shrinking -Einstein soliton are -non-parabolic, provided is nonnegative and the soliton has bounded and nonnegative scalar curvature,…