On uniqueness of conformally compact Einstein metrics with homogeneous conformal infinity

DOI10.1016/j.aim.2018.10.027zbMath1404.53061arXiv1612.09358OpenAlexW2962740846MaRDI QIDQ1621478

Gang Li

Publication date: 8 November 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.09358

zbMATH Keywords

center of gravityHadamard manifoldsintegration-type of comparison theoremtwo-point boundary value problem of ODEsuniqueness of conformally compact Einstein metrics

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Differential geometry of homogeneous manifolds (53C30) Elliptic equations on manifolds, general theory (58J05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items

A construction of Poincaré–Einstein metrics of cohomogeneity one on the ball ⋮ On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity

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