## On the Existence and Nonexistence of Stable Submanifolds and Currents in Positively Curved Manifolds and the Topology of Submanifolds in Euclidean Spaces

- SHIHSHU WALTER WEI
- 2014

Highly Influenced

@inproceedings{FEDERER2007TheSS, title={The Singular Sets of Area Minimizing Rectifi- Able Currents with Codimension One and of Area Minimizing Flat Chains modulo Two with Arbitrary Codimension}, author={BY HERBERT FEDERER and T E CiR and HERBERT FEDERER}, year={2007} }

- Published 2007

1. When describing the interior structure of an area minimizing m dimensional locally rectifiable current T in jR, one calls a point #£sp t r ^ s p t dT regular or singular according to whether or not x has a neighborhood V such that VT\spt T is a smooth m dimensional submanifold of 2?. As a result of the efforts of many geometers it is known that there exist no singular points in case m ^ 6 ; a detailed exposition of this theory may be found in [3, Chapter 5]. Recently it was proved in [2… CONTINUE READING

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