Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Silhan, Josef"'
Autor:
Blitz, Samuel, Silhan, Josef
Warped products are one of the simplest families of Riemannian manifolds that can have non-trivial geometries. In this letter, we characterize the geometry of hypersurface embeddings arising from warped product manifolds using the language of higher
Externí odkaz:
http://arxiv.org/abs/2410.06706
Autor:
Blitz, Samuel, Šilhan, Josef
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 which depend on a choice of parallelization of the normal bundle. Qualita
Externí odkaz:
http://arxiv.org/abs/2405.07692
Autor:
Gregorovič, Jan, Šilhan, Josef
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 signature and dimension $n$ of the conformally nonflat conformal manifold.
Externí odkaz:
http://arxiv.org/abs/2401.03909
We present a geometric construction and characterization of $2n$-dimensional split-signature conformal structures endowed with a twistor spinor with integrable kernel. The construction is regarded as a modification of the conformal Patterson--Walker
Externí odkaz:
http://arxiv.org/abs/2301.04238
Autor:
Kycia, Radosław Antoni, Šilhan, Josef
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 associated vector bundle. The algorithm contains some constraints tha
Externí odkaz:
http://arxiv.org/abs/2210.03663
Akademický článek
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Autor:
Šilhan, Josef, Žádník, Vojtěch
We present the general theory of curves in conformal geometry using tractor calculus. This primarily involves a tractorial determination of distinguished parametrizations and relative and absolute conformal invariants of generic curves. The absolute
Externí odkaz:
http://arxiv.org/abs/1805.00422
Autor:
Somberg, Petr, Šilhan, Josef
We construct in projective differential geometry of the real dimension $2$ higher symmetry algebra of the symplectic Dirac operator ${D}\kern-0.5em\raise0.22ex\hbox{/}_s$ acting on symplectic spinors. The higher symmetry differential operators corres
Externí odkaz:
http://arxiv.org/abs/1803.06970
Autor:
Hammerl, Matthias, Sagerschnig, Katja, Šilhan, Josef, Taghavi-Chabert, Arman, Žádník, Vojtěch
Given an $n$-dimensional manifold $N$ with an affine connection $D$, we show that the associated Patterson-Walker metric $g$ on $T^*N$ admits a global and explicit Fefferman-Graham ambient metric. This provides a new and large class of conformal stru
Externí odkaz:
http://arxiv.org/abs/1608.06875
Autor:
Hammerl, Matthias, Sagerschnig, Katja, Šilhan, Josef, Taghavi-Chabert, Arman, Žádník, Vojtěch
Publikováno v:
Asian J. Math. 23 (2019), no. 5, 703-734
The classical Patterson-Walker construction of a split-signature (pseudo-)Riemannian structure from a given torsion-free affine connection is generalized to a construction of a split-signature conformal structure from a given projective class of conn
Externí odkaz:
http://arxiv.org/abs/1604.08471