Real Hypersurfaces with Yamabe and Quasi-Yamabe Solitons in the Complex Projective Space

초록

Yamabe solitons and gradient Yamabe solitons are introduced as special conformal solutions of the Yamabe flow. We start by giving a complete classification of Yamabe solitons and gradient Yamabe solitons on real hypersurfaces in the complex projective space CPn = SUn+1/S(U1 · Un). Then, as an application, we present complete classifications of quasi-Yamabe and gradient quasi-Yamabe solitons on real hypersurfaces in the complex projective space CPn.

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