Zobrazeno 1 - 10
of 378
pro vyhledávání: '"Kruglikov Boris"'
Autor:
Kruglikov, Boris
In this note we give a criterion for the existence of a fractional-linear integral for a geodesic flow on a Riemannian surface and explain that modulo M\"obius transformations the moduli space of such local integrals (if nonempty) is either the two-d
Externí odkaz:
http://arxiv.org/abs/2412.04907
Conformal geodesics form an invariantly defined family of unparametrized curves in a conformal manifold generalizing unparametrized geodesics/paths of projective connections. The equation describing them is of third order, and it was an open problem
Externí odkaz:
http://arxiv.org/abs/2412.04890
Autor:
Kruglikov, Boris
We relate rational integrals of the geodesic flow of a (pseudo-)Riemannian metric to relative Killig tensors, describe the spaces they span and discuss upper bounds on their dimensions.
Externí odkaz:
http://arxiv.org/abs/2412.04151
Autor:
Kruglikov, Boris, Schneider, Eivind
Scalar relative invariants play an important role in the theory of group actions on a manifold as their zero sets are invariant hypersurfaces. Relative invariants are central in many applications, where they often are treated locally since an invaria
Externí odkaz:
http://arxiv.org/abs/2404.19439
Autor:
Kruglikov, Boris, Santi, Andrea
We investigate 3-nondegenerate CR structures in the lowest possible dimension 7 and show that 8 is the maximal dimension for the Lie algebra of symmetries of such structures. The next possible symmetry dimension is 6, and for the automorphism groups
Externí odkaz:
http://arxiv.org/abs/2308.02841
Autor:
Kruglikov, Boris, Makhmali, Omid
We extend the recent paradigm "Integrability via Geometry" from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in h
Externí odkaz:
http://arxiv.org/abs/2307.04279
Autor:
Kruglikov, Boris, Santi, Andrea
We investigate 3-nondegenerate CR structures in the lowest possible dimension 7, and one of our goals is to prove Beloshapka's conjecture on the symmetry dimension bound for hypersurfaces in $\mathbb{C}^4$. We claim that 8 is the maximal symmetry dim
Externí odkaz:
http://arxiv.org/abs/2302.04513
Autor:
Kruglikov Boris
Publikováno v:
Open Mathematics, Vol 10, Iss 5, Pp 1605-1618 (2012)
Externí odkaz:
https://doaj.org/article/a17a95883c0e4c3980171f937c5743f8
Autor:
Kruglikov, Boris, Llabres, Andreu
For every parabolic subgroup $P$ of a Lie supergroup $G$ the homogeneous superspace $G/P$ carries a $G$-invariant supergeometry. We address the quesiton whether $\mathfrak{g}=\operatorname{Lie}(G)$ is the maximal symmetry of this supergeometry in the
Externí odkaz:
http://arxiv.org/abs/2212.13041
Autor:
Kruglikov, Boris, Steneker, Wijnand
The Koutras-McIntosh family of metrics include conformally flat pp-waves and the Wils metric. It appeared in a paper of 1996 by Koutras-McIntosh as an example of a pure radiation spacetime without scalar curvature invariants or infinitesimal symmetri
Externí odkaz:
http://arxiv.org/abs/2207.03474