论文标题
渐近平坦歧管的高斯 - 邦网质量中心
The Gauss-Bonnet-Chern Center of Mass for Asymptotically Flat Manifolds
论文作者
论文摘要
在本文中，我们介绍了一个群众家族，其中补充了Ge-Wang-wu和li-nguyen的高斯 - 邦纳特 - 切尔纳特群众家族的定义。为了证明质量中心的存在和定义明确的性，我们使用了库尔卡尼和拉比的双重形式。这允许透明的概念证明，这些证明适用于所有已知的渐近平坦歧管渐近不变案例。
In this paper we introduce a family of center of masses that complement the definition of the family of Gauss-Bonnet-Chern masses by Ge-Wang-Wu and Li-Nguyen. In order to prove the existence and the well-definedness of the center of mass, we use the formalism of double forms of Kulkarni and Labbi. This allows for transparent conceptual proofs, which apply to all known cases of asymptotic invariants of asymptotically flat manifolds.
