Abstract
We study the renormalized volume of a conformally compact Einstein manifold. In even dimensions, we derive the analogue of the Chern-Gauss-Bonnet formula incorporating the renormalized volume. When the dimension is odd, we relate the renormalized volume to the conformal primitive of the Q-curvature.
Original language | English (US) |
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Pages (from-to) | 1755-1769 |
Number of pages | 15 |
Journal | Journal of Mathematical Sciences |
Volume | 149 |
Issue number | 6 |
DOIs | |
State | Published - Mar 2008 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- General Mathematics
- Applied Mathematics