Almost gradient pseudo-Ricci solitons on 3-dimensional real hypersurfaces

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2025年7月11日

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Mayuko Kon

摘要

We show that if a real hypersurface of a complex space form $M^2(c), c\ne 0$ $M^{2} (c), c \neq 0$ admits an almost gradient pseudo-Ricci soliton and satisfies $S\xi =\beta \xi $ $S ξ = β ξ$ for some function $\beta $ $β$ , where S denotes the Ricci operator, then M is either a ruled real hypersurface or a Hopf hypersurface admitting a trivial gradient pseudo-Ricci soliton.