Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity

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초록

Given an asymptotically hyperbolic manifold with minimal conformal infinity, we construct blowing-up solutions for linear perturbations of the fractional Yamabe problem on the conformal infinity provided that either the trace-free part of the second fundamental form or the covariant normal derivative of the normal component of the Ricci tensor on the conformal infinity is non-trivial.

키워드

MANIFOLDSCOMPACTNESSSCATTERINGEXTENSIONRESOLVENTEQUATIONSMETRICS
제목
Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity
저자
Deng, ShengbingKim, SeunghyeokPistoia, Angela
DOI
10.4310/CAG.2021.v29.n2.a4
발행일
2021-00
유형
Article
저널명
Communications in Analysis and Geometry
29
2
페이지
363 ~ 407