@Article{JMS-54-200,
author = {Zhang , Yongbing},
title = {Graham-Witten's Conformal Invariant for Closed Four Dimensional Submanifolds},
journal = {Journal of Mathematical Study},
year = {2021},
volume = {54},
number = {2},
pages = {200--226},
abstract = {<p>It was proved by Graham and Witten in 1999 that conformal invariants of submanifolds can be obtained via volume renormalization of&nbsp; minimal surfaces in conformally compact Einstein manifolds. The conformal invariant of a submanifold $\Sigma$ is contained in the volume expansion of the minimal surface which is asymptotic to $\Sigma$ when the minimal surface approaches the conformaly infinity. In the paper we give the explicit expression of Graham-Witten&#39;s conformal invariant for closed four dimensional submanifolds and find critical points of the conformal invariant in the case of Euclidean ambient spaces.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v54n2.21.06},
url = {http://global-sci.org/intro/article_detail/jms/18617.html}
}