Zobrazeno 1 - 10
of 2 191
pro vyhledávání: '"Kruglikov, A. A."'
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
Publikováno v:
Clinical, Cosmetic and Investigational Dermatology, Vol Volume 17, Pp 2779-2794 (2024)
Irina Chervinskaya,1 Nadezhda I Kuprina,2 Ilja Kruglikov3 1Clinic DK Forma, St. Petersburg, Russian Federation; 2North-West Public Health Research Center, St. Petersburg, Russian Federation; 3Wellcomet GmbH, Bruchsal, GermanyCorrespondence: Ilja Krug
Externí odkaz:
https://doaj.org/article/bea9a7377a904cdc8003016cc3dd37aa
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:
Pavel V. Panteleev, Eugene B. Pichkur, Roman N. Kruglikov, Alena Paleskava, Olga V. Shulenina, Ilia A. Bolosov, Ivan V. Bogdanov, Victoria N. Safronova, Sergey V. Balandin, Valeriya I. Marina, Tatiana I. Kombarova, Olga V. Korobova, Olga V. Shamova, Alexander G. Myasnikov, Alexander I. Borzilov, Ilya A. Osterman, Petr V. Sergiev, Alexey A. Bogdanov, Olga A. Dontsova, Andrey L. Konevega, Tatiana V. Ovchinnikova
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-15 (2024)
Abstract The antimicrobial resistance crisis along with challenges of antimicrobial discovery revealed the vital necessity to develop new antibiotics. Many of the animal proline-rich antimicrobial peptides (PrAMPs) inhibit the process of bacterial tr
Externí odkaz:
https://doaj.org/article/9de33db467d84874bde0aeaf8143a9ce
Autor:
O. A. Podoinitsyna, L. V. Mironova, V. D. Kruglikov, I. S. Fedotova, Yu. P. Galach’yants, A. S. Vodop’yanov, D. A. Levchenko, S. Yu. Temyakova, E. A. Basov, A. S. Ponomareva, A. K. Noskov
Publikováno v:
Проблемы особо опасных инфекций, Vol 0, Iss 3, Pp 144-153 (2024)
Cholera vibrios, isolated from surface water bodies during monitoring activities, can differ from typical ones in terms of agglutinability with diagnostic cholera sera, which makes it difficult to assign them to a specific serogroup. Therefore, the d
Externí odkaz:
https://doaj.org/article/4c126a2819b04f39a752bdc56ecf5ced
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