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  Second order rectifiability of integral varifolds of locally bounded first variation

Menne, U. (2013). Second order rectifiability of integral varifolds of locally bounded first variation. Journal of Geometric Analysis, 23, 709-763. doi:10.1007/s12220-011-9261-5.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-602B-2 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-002A-5FA1-1
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Menne, Ulrich1, Author           
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1Geometric Measure Theory, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_1753352              

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 Abstract: In this work it is shown that every integral varifold in an open subset of Euclidian space of locally bounded first variation can be covered by a countable collection of submanifolds of class C^2. Moreover, the mean curvature of each member of the collection agrees with the mean curvature of the varifold almost everywhere with respect to the varifold.

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 Dates: 201120112013
 Publication Status: Issued
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 Identifiers: eDoc: 374108
arXiv: 0808.3665
DOI: 10.1007/s12220-011-9261-5
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Title: Journal of Geometric Analysis
Source Genre: Journal
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Publ. Info: Boca Raton, FL : CRC Press
Pages: - Volume / Issue: 23 Sequence Number: - Start / End Page: 709 - 763 Identifier: ISSN: 1050-6926
CoNE: https://pure.mpg.de/cone/journals/resource/954926996194