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The singular set of minimal hypersurfaces with second fundamental form in L²

  • Reiner Schätzle (ETH Zürich, Departement der Mathematik)
A3 02 (Seminar room)

Abstract

We consider smooth, embedded, minimal n-hypersurfaces

tex2html_wrap_inline19

converging to a stationary varifold

ALT="tex2html_wrap_inline21" SRC="2000_07_18_380/img3.gif">.

Under the assumption that the second fundamental

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of tex2html_wrap_inline19 is bounded in

tex2html_wrap_inline15, that is


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we prove that the Hausdorff dimension of the singular set is

estimated by


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