Abstract
We prove that connected subsets of M2×2 without rank-one connections are Lipschitz graphs of mappings from subsets of a fixed two-dimensional subspace to its orthogonal complement. Under a weaker condition that the set does not have rank-one connections locally, we are able to establish some global results on the set. We also establish some results on Lipschitz extensions of the functions thus obtained.
| Original language | English |
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| Pages (from-to) | 207-216 |
| Number of pages | 10 |
| Journal | Proceedings of the Royal Society of Edinburgh, Section A: Mathematics |
| Volume | 127 |
| Issue number | 1 |
| Publication status | Published - 1997 |