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Contemporary Mathematics. Fundamental Directions, 2006, Volume 17, Pages 129–142 (Mi cmfd61)  
This article is cited in 23 scientific papers (total in 23 papers)

On the renormalized volumes for conformally compact Einstein manifolds

P. Yanga, J. Qingb, S.-Yu. Changa

a Princeton University, Department of Mathematics
b University of California, Santa Cruz
Full-text PDF (223 kB) Citations (23)
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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.
English version:
Journal of Mathematical Sciences, 2008, Volume 149, Issue 6, Pages 1755–1769
DOI: https://doi.org/10.1007/s10958-008-0094-0
Bibliographic databases:
UDC: 514.77
Language: Russian
Citation: P. Yang, J. Qing, S.-Yu. Chang, “On the renormalized volumes for conformally compact Einstein manifolds”, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 3, CMFD, 17, PFUR, M., 2006, 129–142; Journal of Mathematical Sciences, 149:6 (2008), 1755–1769
Citation in format AMSBIB
\Bibitem{YanQinCha06}
\by P.~Yang, J.~Qing, S.-Yu.~Chang
\paper On the renormalized volumes for conformally compact Einstein manifolds
\inbook Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2005). Part~3
\serial CMFD
\yr 2006
\vol 17
\pages 129--142
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd61}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336463}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 149
\issue 6
\pages 1755--1769
\crossref{https://doi.org/10.1007/s10958-008-0094-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-40549095379}
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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