Triviality results for quasi k-Yamabe solitons

نویسندگان

چکیده

In this paper, we show that any compact quasi k-Yamabe gradient soliton must have constant \(\sigma _{k}\)-curvature. Moreover, provide a certain condition for to be gradient, and noncompact solitons, present geometric rigidity under decay on the norm of field.

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ژورنال

عنوان ژورنال: Archiv der Mathematik

سال: 2022

ISSN: ['0003-889X', '1420-8938']

DOI: https://doi.org/10.1007/s00013-022-01795-1