Abstract
We make some improvements to our previous results in [TV05a] and [TV05b], First, we prove a version of our volume growth theorem which does not require any assumption on the first Betti number. Second, we show that our local regularity theorem only requires a lower volume growth assumption, not a full Sobolev constant bound. As an application of these results, we can weaken the assumptions of several of our theorems in [TV05a] and [TV05b].
Original language | English (US) |
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Pages (from-to) | 889-911 |
Number of pages | 23 |
Journal | Commentarii Mathematici Helvetici |
Volume | 83 |
Issue number | 4 |
DOIs | |
State | Published - 2008 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- 58E11
- Primary 53c21
- Secondary 58d27