Triviality results for compact k-Yamabe solitons
Autor: | Elismar Dias Batista, Willian Isao Tokura |
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Rok vydání: | 2021 |
Předmět: |
Mathematics - Differential Geometry
Applied Mathematics 010102 general mathematics 01 natural sciences Triviality 010101 applied mathematics Nonlinear Sciences::Exactly Solvable and Integrable Systems Differential Geometry (math.DG) FOS: Mathematics Mathematics::Differential Geometry Soliton 0101 mathematics Constant (mathematics) Nonlinear Sciences::Pattern Formation and Solitons Analysis Mathematical physics Mathematics |
Zdroj: | Journal of Mathematical Analysis and Applications. 502:125274 |
ISSN: | 0022-247X |
DOI: | 10.1016/j.jmaa.2021.125274 |
Popis: | In this paper, we show that any compact gradient k-Yamabe soliton must have constant σ k -curvature. Moreover, we provide a certain condition for a compact k-Yamabe soliton to be gradient. |
Databáze: | OpenAIRE |
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