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  Chord-Arc Constants for Submanifolds of Arbitrary

Blatt, S. (2009). Chord-Arc Constants for Submanifolds of Arbitrary. Advances in Calculus of Variations, 2(3), 271-309. doi:10.1515/ACV.2009.011, /July/2009.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-459C-9 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-459D-7
Genre: Journal Article

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 Creators:
Blatt, Simon1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: In this article we show that for k-dimensional submanifolds of which go through infinity in a smooth way, smallness of the Gromov distortion and some Ahlfors regularity is equivalent to smallness of the BMO norm of the unit normal and globally δ-Reifenberg flatness with small δ. This generalizes a result due to Semmes for hypersurfaces to surfaces of arbitrary codimension.

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 Dates: 2009
 Publication Status: Issued
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 Identifiers: eDoc: 380083
Other: AEI-2008-086
DOI: 10.1515/ACV.2009.011, /July/2009
URI: http://www.reference-global.com/doi/pdf/10.1515/ACV.2009.011, /July/2009
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Title: Advances in Calculus of Variations
Source Genre: Journal
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Pages: - Volume / Issue: 2 (3) Sequence Number: - Start / End Page: 271 - 309 Identifier: -