数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (1): 95-102.
Frank Duzaar1, Martin Fuchs2
Frank Duzaar1, Martin Fuchs2
摘要: Given an integral M-currrent T0 in Rm+k and a tensor H of type(m,l)on Rm+k with values orthogonal to each of its arguments we proved in a previous paper [3] the existence of an integral m-current T=γ(M,θ.ζ)with boundary ∂T0 and mean curvature vector H by minimizing an appropriate functional on suitable subclasses of the set of all integral currents.In this paper we discuss the existence and structure of oriented tangent cones C of T at points x∈spt(T)-spt(∂T),especially we show that C is locally mass minimizing.