Yamabe, Ricci-Bourguignon solitons in complex hyperbolic quadric and complex hyperbolic space
Young Jin Suh Kyungpook National University
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.