Yamabe, Ricci-Bourguignon solitons in complex hyperbolic quadric and complex hyperbolic space

GEOMETRY SEMINAR

Speaker: Young Jin Suh (Kyungpook National University)

Abstract: In this talk, we give a complete classification of Yamabe soliton, Ricci-Bourguignon soliton on real hypersurfaces in complex hyperbolic quadric \({Q^m}^*\) and complex hyperbolic space \(CH^m\). Next as applications, we also give a complete classification of gradient Yamabe soliton and gradient Ricci-Bourguignon soliton on real hypersurfaces in complex hyperbolic quadric \({Q^m}^*\) and complex hyperbolic space \(CH^m\). Related to this topics, finally we want to mention soliton problems and Fisher-Marsden conjecture in other Hermitian symmetric spaces like complex two-plane Grassmannians, complex hyperbolic two-plane Grassmannians, complex quadric or etc.