数学科学研究所
Insitute of Mathematical Science

Dirichlet problem for maximal graphs of higher codimension

Institute of Mathematical Sciences

Time4:00pm-5:00pm, Aug 1, Wednesday

LocationRoom 302, Library


Speaker: Li Yang from Imperial college

Host: Chen Xiuxiong


Title:Dirichlet problem for maximal graphs of higher codimension

Abstract:Maximal submanifolds in Lorentzian type ambient spacesare the formal analogues of minimal submanifolds in Euclidean spaces, which arise naturally in adiabatic problems for G2 manifolds. We obtain general existence and uniqueness results for the Dirichlet problem of graphical maximal submanifolds in any codimension, which stand in sharp contrast to the analogous problem for graphical minimal. 


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