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math.DG2026
Topological Obstructions to Riemannian-Lorentzian Continuation
Nathalie E. Rieger, Ödül Tetik
Motivated by problems in instanton continuation, we establish geometro-topological selection rules for continuing a Riemannian region into a Lorentzian region through a smooth tran…
math.DG2026
Möbius-Type Structures in Non-Orientable Singular Semi-Riemannian Manifolds
Nathalie E. Rieger
Our objective is to illuminate the global structure of non-orientable manifolds with signature-changing metrics, with particular emphasis on global topological obstructions. Using…