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math.DG2024
Higher Fundamental Forms and Warped Product Hypersurfaces
Samuel Blitz, Josef Silhan
Warped products are one of the simplest families of Riemannian manifolds that can have non-trivial geometries. In this article, we characterize the geometry of hypersurface embeddi…
math.DG2024★ 1 cited
Holography of Higher Codimension Submanifolds: Riemannian and Conformal
Samuel Blitz, Josef Šilhan
We provide a natural generalization to submanifolds of the holographic method used to extract higher-order local invariants of both Riemannian and conformal embeddings, some of whi…
math.DG2024
The gap phenomenon for conformally related Einstein metrics
Jan Gregorovič, Josef Šilhan
We determine the submaximal dimensions of the spaces of almost Einstein scales and normal conformal Killing fields for connected conformal manifolds. The results depend on the sign…