Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (1): 95-102.
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Frank Duzaar1, Martin Fuchs2
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Abstract: 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.
Key words: integral currents, generalized mean curvature, tangent cones
Frank Duzaar, Martin Fuchs. EXISTENCE OF AREA MINIMIZING TANGENT CONES OF INTEGRAL CURRENTS WITH PRESCRIBED MEAN CURVATURE[J].Acta mathematica scientia,Series B, 1995, 15(1): 95-102.
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