In this paper,we first introduce a boundary problem for Lagrangian submanifolds,analogous to the problem for free boundary hypersurfaces and capillary hypersurfaces.Then we present several interesting examples of Lagrangian submanifolds satisfying this bo
In this paper we study the Lp dual Minkowski problem for the case p<0<q.We prove for any positive smooth function f on S1,there exists an F:R+→R-,such that if F(q)<p<0 or 0<q<-F(-p)then there i
Motivated by the study of coupled Kahler-Einstein metrics by Hultgren and Witt Nystrom(2018)and coupled Kahler-Ricci solitons by Hultgren(2017),we study in this paper coupled Sasaki-Einstein metrics and coupled Sasaki-Ricci solitons.We first show an isomo