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Difference between revisions of "User:Luca.Spolaor/sandbox"

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[[Category:Classical measure theory]]
 
[[Category:Classical measure theory]]
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Rectifiable varifolds are a generalization of rectifiable sets in the sense that they allow for a density function to be defined on the set. They are also strictly connected to rectifiable currents, in fact to such a current one can always associate a varifold by putting aside the orientation.
 
Rectifiable varifolds are a generalization of rectifiable sets in the sense that they allow for a density function to be defined on the set. They are also strictly connected to rectifiable currents, in fact to such a current one can always associate a varifold by putting aside the orientation.
  
 
==Definitions==
 
==Definitions==
 +
 +
==First Variation and Stationariety==
 +
 +
==Allard's Regularity Theorem==
  
 
==References==
 
==References==

Revision as of 09:27, 11 September 2012

2020 Mathematics Subject Classification: Primary: 49Q15 [MSN][ZBL]


Rectifiable varifolds are a generalization of rectifiable sets in the sense that they allow for a density function to be defined on the set. They are also strictly connected to rectifiable currents, in fact to such a current one can always associate a varifold by putting aside the orientation.

Definitions

First Variation and Stationariety

Allard's Regularity Theorem

References

[FX] Lin Fanghua, Yang Xiaoping, "Geometric Measure Theory-An Introduction". Advanced Mathematics Vol.1. International Press, Boston, 2002. MR2030862Zbl 1074.49011
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