Curvature estimates for minimal hypersurfaces in singular spaces

Springer Science and Business Media LLC - Tập 122 Số 1 - Trang 453-473 - 1995
Dierkes, Ulrich1
1Sonderforschungsbereich 256, Institut für Angewandte Mathematik, Universität Bonn, Bonn, Germany

Tóm tắt

We here prove pointwise curvature estimates for minimal hypersurfaces in singular spaces, using the integral curvature estimate and a generalized “Simons” inequality which were established recently. A further basic ingredient is a new Sobolev type inequality for stationary hypersurfaces.

Tài liệu tham khảo

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