Friedrich Bauermeister

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math.DG2026

Refocusing spacetimes need not be strongly refocusing

Friedrich Bauermeister

We prove that there are globally hyperbolic spacetimes which are refocusing but not strongly refocusing. In fact, every globally hyperbolic strongly refocusing spacetime of dimensi…

math.DG2025

Topological consequences of null-geodesic refocusing and applications to $Z^{x}$ manifolds

Friedrich Bauermeister

Let $(M, h)$ be a connected, complete Riemannian manifold, $x \in M$ , and $l > 0$ . Then $M$ is called a $Z^{x}$ manifold if all geodesics starting at $x$ return to $x$ , and it is called…

Refocusing spacetimes need not be strongly refocusing

Topological consequences of null-geodesic refocusing and applications to Zx manifolds

Topological consequences of null-geodesic refocusing and applications to $Z^{x}$ manifolds