Fragmented Hofer's geometry
arXiv:1612.01080
Abstract
Hofer's norm (metric) is an important and interesting topic in symplectic geometry. In the present paper, we define fragmented Hofer's norms which are Hofer's norms controlled by fragmentation norms and give some observations on fragmented Hofer's norms.
12 pages; The proof of Theorem 2.1 contained a lot of small careless mistakes and they made the proof difficult to read. Thus I fixed and improved the proof; other minor changes. I added other some minor revisions