Mathematical Sciences: Research in Riemannian and LorentzianGeometry

加洛韦教授将继续他在时空几何中刚性现象的工作。一个基本的工具将是切格-格罗莫尔分裂定理的洛伦兹模拟。这项工作的结果适用于黑洞的霍金-彭罗斯理论和时空拓扑。进一步的问题涉及洛伦兹流形中某些(柯西)曲面的问题。

Professor Galloway will continue his work on rigidity phenomena in space-time geometry. A fundamental tool will be the Lorentzian analogue of the Cheeger-Gromoll splitting theorem. Ramifications of this work are applicable to the Hawking-Penrose theory of blackholes and space-time topology.Further problems concern questions of certain (Cauchy) surfaces in Lorentzian manifolds.