RECTIFIABILITY PROPERTIES OF VARIFOLDS IN l3

Title & Authors
RECTIFIABILITY PROPERTIES OF VARIFOLDS IN l3
Zhao, Peibiao; Yang, Xiaoping;

Abstract
We prove the following theorem: Given a Varifold V in $\small{l^{3}_{\infty}}$ with the property that 0 < $lim_{r}_{\rightarrow}_{o}\;\frac{{\mu}v(C_{r}(x))}{r^{2}}\;<\;{\infty}\;for\;{\mu}v\;a.e.x\;{\in}$ SptV, then V is rectifiable.
Keywords
Varifolds;tangent measures;rectifiable sets;rectifiable measures;
Language
English
Cited by
1.
INCLUSION AND NEIGHBORHOOD PROPERTIES OF CERTAIN SUBCLASSES OF p-VALENT ANALYTIC FUNCTIONS OF COMPLEX ORDER INVOLVING A LINEAR OPERATOR,;;

대한수학회보, 2014. vol.51. 6, pp.1625-1647
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