Inductive Analysis on Singular Minimal Hypersurfaces

Details Inductive Analysis on Singular Minimal Hypersurfaces Inductive Analysis on Singular Minimal Hypersurfaces

2008-08-14

arxiv.org/abs/0808.2035v1

Mathematics

Differential Geometry

This paper was submitted for publication as a part of a largely extended version of "Singular Minimal Hypersurfaces and Positi

Scientific paper

The present paper describes a way to relate Martin boundaries on spaces of varying topology. This enables us to approach some detailed inductive analysis of the eigenfunctions of conformal Laplacians on minimal hypersurfaces near their singularities. This can directly be used resp. translated to understand the way how such minimal hypersurfaces inherit positive scalar curvature from their ambience resp. how to smooth singular minimal hypersurfaces to regular hypersurfaces with positive mean curvature.

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