# 一旋等距同構在3+1維度洛倫茲愛因斯坦流形

SEMINAR:- On 3+1 Lorentzian Einstein Manifolds with One Rotational Isometry

Differentiable manifolds whose Ricci curvature is proportional to the metric are called Einstein manifolds. Such manifolds have been central objects of study in differential geometry and Einstein&apos;s theory for general relativity, with some strong recent results.

In this talk, the speaker shall focus on positively curved 3+1 Lorentzian Einstein manifolds with one spacelike rotational isometry. After performing the dimensional reduction to a 2+1 dimensional Einstein’s equations coupled to ‘shifted’ wave maps, the speaker shall prove two explicit positive mass theorems: i) for CMC slices in expanding region, and ii) for maximal slices in stationary region.

【活動訊息由張詠倫提供】

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