Persons: Bibikov, Pavel Vitalievich

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Bibikov, Pavel Vitalievich

Total publications:	35 (34)
in MathSciNet:	18 (18)
in zbMATH:	13 (13)
in Web of Science:	11 (11)
in Scopus:	19 (19)
Cited articles:	15
Citations:	51
Presentations:	14

Number of views:
This page:	6817
Abstract pages:	261676
Full texts:	5146
References:	1070

Senior Researcher

Birth date:

16.08.1988

E-mail:

Keywords:

Lobachevskii geometry, discrete reflection groups, root systems, algebraic actions, categoric factor, differential invariants, invariant derivatives, jet spaces, algebraic dependencies.

Main publications:

P. V. Bibikov, V. V. Lychagin, “Klassifikatsiya lineinykh deistvii algebraicheskikh grupp na prostranstvakh odnorodnykh form”, DAN, 442:6 (2012), 732–735
P. V. Bibikov, V. V. Lychagin, “Projective classification of binary and ternary forms”, J. Geometry and Physics, 61:10 (2011), 1914–1927
P. V. Bibikov, V. S. Zhgoon, “On tilings related to discrete reflection groups”, Izv. Math., 73:6 (2009), 1101–1109

https://www.mathnet.ru/eng/person37705

List of publications on Google Scholar

List of publications on ZentralBlatt

Full list of publications:

scientific publications

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common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	P. V. Bibikov, V. V. Lychagin, “$\mathrm{GL}_2(\mathbb{C})$-orbits of binary rational forms”, Lobachevskii Journal of Mathematics, 32:1 (2011), 95–102	15 ^[x]
2.	P. V. Bibikov, V. V. Lychagin, “Projective classification of binary and ternary forms”, J. Geometry and Physics, 61:10 (2011), 1914–1927	8 ^[x]
3.	P. V. Bibikov, “On Lie Problem and Differential Invariants of ODEs $y''=F(x,y)$”, Funct. Anal. Appl., 51:4 (2017), 255–262
4.	P. V. Bibikov, “Point Equivalence of Functions on the $1$-Jet Space $J^1\mathbb{R}$”, Funct. Anal. Appl., 48:4 (2014), 250–255
5.	P. V. Bibikov, “Classification of ternary forms with zero Hessian”, Russian Math. (Iz. VUZ), 55:9 (2011), 83–85
6.	P. V. Bibikov, V. S. Zhgoon, “On Waldspurger's theorem”, Russian Math. Surveys, 64:5 (2009), 947–949
7.	P. V. Bibikov, “Classification of rational functions in symplectic and metric spaces”, Russian Math. (Iz. VUZ), 57:4 (2013), 1–6
8.	P. V. Bibikov, “Classification of control ensembles of projective points”, Russian Math. (Iz. VUZ), 59:3 (2015), 25–30
9.	P. V. Bibikov, “On affine classification of functions and foliations on the plane”, Lobachevskii Journal of Mathematics, 33:2 (2012), 115–122	1 ^[x]
10.	P. V. Bibikov, “Separation Indices of Irreducible Root Systems”, Math. Notes, 89:2 (2011), 304–306
11.	P. V. Bibikov, “Relative angular measure of the dual cone of the fundamental cone of a finite reflection group”, Russian Math. Surveys, 65:1 (2010), 173–174
12.	P. V. Bibikov, “Opisannye tsiklicheskie linii treugolnika na ploskosti Lobachevskogo”, Matem. prosv., ser. 3, 13, Izd-vo MTsNMO, M., 2009, 142–148	1 ^[x]
13.	P. V. Bibikov, V. S. Zhgoon, “On tilings related to discrete reflection groups”, Izv. Math., 73:6 (2009), 1101–1109
14.	P. V. Bibikov, “Teoremy Shteinera i Ponsele v geometriyakh Evklida i Lobachevskogo”, Matem. prosv., 12, Izd-vo MTsNMO, M., 2008, 177–184	1 ^[x]
15.	P. V. Bibikov, I. V. Tkachenko, “O trisektsii i bisektsii treugolnika na ploskosti Lobachevskogo”, Matem. prosv., 11, Izd-vo MTsNMO, M., 2007, 113–126	1 ^[x]
16.	P. V. Bibikov, “On contact equivalence of Abel cubic differential equations of the second order”, Russian Math. (Iz. VUZ), 60:3 (2016), 82–84
17.	P. V. Bibikov, “Differential Invariants and Problems of Contact and Point Equivalence of Functions on $n$-Jet Spaces $J^n\mathbb R$”, Math. Notes, 97:1 (2015), 143–146
18.	P. V. Bibikov, “On the geometry of quadratic second-order Abel ordinary differential equations”, J. Math. Sci., 223:6 (2017), 667–674
19.	P. V. Bibikov, “Projective equivalence of smooth functions on a plane”, Russian Math. (Iz. VUZ), 57:12 (2013), 63–65
20.	P. V. Bibikov, V. V. Lychagin, “Klassifikatsiya lineinykh deistvii algebraicheskikh grupp na prostranstvakh odnorodnykh form”, DAN, 442:6 (2012), 732–735
21.	P. V. Bibikov, “On automorphic systems of differential equations and $\mathrm{GL}_2(\mathbb C)$-orbits of binary forms”, Ufimsk. Mat. Zh., 4:4 (2012), 38–44
22.	P. V. Bibikov, “On algebraic dependencies in polygons and polyhedra”, Lobachevskii Journal of Mathematics, 32:2 (2011), 146–148
23.	P. V. Bibikov, V. V. Lychagin, “$\mathrm{GL}_3(\mathbb{C})$-orbity ratsionalnykh ternarnykh form”, DAN, 438:4 (2011), 295–297
24.	P. V. Bibikov, “Metricheskaya klassifikatsiya algebraicheskikh proektivnykh krivykh”, Izvestiya PGPU im. V. G. Belinskogo, 2011, no. 26, 36–42
25.	P. V. Bibikov, “Proektivnaya klassifikatsiya algebraicheskikh proektivnykh krivykh”, Trudy Matematicheskogo tsentra im. N. I. Lobachevskogo, 44, Kazanskoe matematicheskoe obschestvo, Kazan, 2011, 92–94
26.	P. V. Bibikov, V. V. Lychagin, “Klassifikatsiya $\mathrm{SL}_2(\mathbb{C})$-orbit binarnykh form”, Trudy Matematicheskogo tsentra im. N. I. Lobachevskogo, 40, Kazanskoe matematicheskoe obschestvo, Kazan, 2010, 72–75
27.	P. V. Bibikov, V. V. Lychagin, “$\mathrm{GL}_2(\mathbb{C})$-orbity binarnykh form”, DAN, 435:4 (2010), 439–440
28.	P. V. Bibikov, V. S. Zhgoon, “Angle measures of some cones associated with finite reflection groups”, J. Lie Theory, 19:4 (2009), 767–769
29.	P. V. Bibikov, “On classification of polynomial Hamiltonians with non-degenerated linear-stable singular point”, Russian Math. (Iz. VUZ), 63:1 (2019), 76–78
30.	P. V. Bibikov, “On Differential Invariants and Classification of Ordinary Differential Equations of the Form $y''=A(x,y)y'+B(x,y)$”, Math. Notes, 104:2 (2018), 167–175
31.	P. V. Bibikov, I. S. Strel'tsova, “On contact integral calabi invariant”, UBS, 72 (2018), 27–32
32.	P. V. Bibikov, “On the subgroups of birational contact maps and the Kartan–Keller's conjecture”, Dal'nevost. Mat. Zh., 18:1 (2018), 9–17
33.	P. V. Bibikov, N. A. Safonkin, “On classification of one class of the first order ODE”, Russian Math. (Iz. VUZ), 62:11 (2018), 1–11
34.	P. V. Bibikov, Funktsional. Anal. i Prilozhen. (to appear)
35.	P. V. Bibikov, I. I. Frolov, Mat. Pros., 26, MCCME, Moscow, 2020, 49–66

Presentations in Math-Net.Ru

1.	Дифференциальные инварианты действий алгебраических групп и псевдогрупп и их применение в классической теории инвариантов и геометрической теории дифференциальных уравнений P. V. Bibikov Differential geometry and applications May 24, 2021 16:45
2.	Дифференциальная vs алгебраическая геометрии в теории дифференциальных уравнений P. V. Bibikov Differential geometry and applications October 31, 2016 16:45
3.	Classification of Binary Forms with Control Parameter Pavel Bibikov International youth conference "Geometry & Control" April 14, 2014 17:00
4.	Symplectization of the contact space of 1-jets $J^1\mathbb{R}^n$ and its application in the study of differential equations P. V. Bibikov Differential geometry and applications September 30, 2013 16:45
5.	О геометрии дифференциальных уравнений Абеля P. V. Bibikov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) April 27, 2013 18:30
6.	Differential invariants and the problem of classification of ordinary differential equations P. V. Bibikov Differential geometry and applications February 11, 2013 16:45
7.	Дифференциальные инварианты аффинных действий алгебраических групп P. V. Bibikov Contemporary Problems in Number Theory October 25, 2012 12:45
8.	Classification of rational Hamiltonians in symplectic spaces P. V. Bibikov Differential geometry and applications April 9, 2012 16:45
9.	Differential invariants of linear actions of algebraic groups on spaces of homogeneous forms P. V. Bibikov Differential geometry and applications November 28, 2011 16:45
10.	Application of differential invariants to classification problems in algebra P. V. Bibikov Differential geometry and applications October 17, 2011 16:45
11.	Classification of $\mathrm{GL}_3(\mathbb C)$-orbits of ternary forms P. Bibikov Lie groups and invariant theory April 13, 2011 16:45
12.	Проективная классификация тернарных форм P. V. Bibikov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) April 6, 2011 18:30
13.	$\mathrm{SL}_2$-орбиты бинарных форм (совместная работа с В. В. Лычагиным) P. Bibikov Lie groups and invariant theory April 7, 2010
14.	О структуре сопряженных конусов систем корней (по работе J.-L. Waldspurger “Une remarque sur les systèmes de racines”) P. Bibikov Lie groups and invariant theory November 14, 2007

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