TY - JOUR
T1 - On the renormalized volumes for conformally compact Einstein manifolds
AU - Yang, P.
AU - Chang, S. Yu A.
AU - Qing, J.
N1 - Funding Information:
This work was supported by NSF Grant DMS–0245266 and, in part, by NSF Grant DMS–0103160.
PY - 2008/3
Y1 - 2008/3
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/40549095379
UR - https://www.scopus.com/pages/publications/40549095379#tab=citedBy
U2 - 10.1007/s10958-008-0094-0
DO - 10.1007/s10958-008-0094-0
M3 - Article
AN - SCOPUS:40549095379
SN - 1072-3374
VL - 149
SP - 1755
EP - 1769
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
IS - 6
ER -