Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1029-1037.

• Articles • Previous Articles     Next Articles

Rectifiability Properties of Varifolds

Zhao Peibiao|Yang Xiaoping   

  1. (Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094)
  • Received:2006-01-10 Revised:2007-12-22 Online:2008-12-25 Published:2008-12-25
  • Contact: Zhao Peibiao

Abstract:

The authors prove the following theorem: given a varifold V with the property
that 0r→0uV(Cr(x))/rn<∞ for μV a.e. x∈ SptV , then V is rectifiable.

Key words: Varifolds, Tangent measure, Rectifiable sets, Rectifiable measures

CLC Number: 

  • 28A25
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