Ricci Flow and Volume Renormalizability

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• ISSN: 1815-0659
• Main Authors: Bahuaud, E., Mazzeo, R., Woolgar, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210238
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Ricci Flow and Volume Renormalizability / E. Bahuaud, R. Mazzeo, E. Woolgar // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 21 назв. — англ.

With respect to any special boundary defining function, a conformally compact asymptotically hyperbolic metric has an asymptotic expansion near its conformal infinity. If this expansion is even to a certain order and satisfies one extra condition, then it is possible to define its renormalized volum...