5 citations · 7 across the 5 of their papers we have counts for
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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…
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…
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…
Inverting covariant exterior derivative
Radosław Antoni Kycia, Josef Šilhan
The algorithm for inverting covariant exterior derivative is provided. It works for a sufficiently small star-shaped region of a fibered set - a local subset of a vector bundle and…
Conformally invariant quantization -- towards complete classification
Josef Silhan
Let be a smooth manifold equipped with a conformal structure, the space of densities with the the conformal weight and $D_{w,w+\de}$ the space of differential operat…