Zobrazeno 1 - 10
of 20
pro vyhledávání: '"I K Babenko"'
Autor:
I K Babenko, Semeon Antonovich Bogatyi
Publikováno v:
Izvestiya: Mathematics. 72:241-264
We study certain properties of the group of substitutions of formal power series in one variable with integer coefficients. We show that , regarded as a topological group, has four generators and cannot be generated by fewer elements. In particular,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3adaee2921ae0c51cf54d06214e429a1
https://doi.org/10.1070/im2008v072n02abeh002399
https://doi.org/10.1070/im2008v072n02abeh002399
Autor:
I K Babenko
Publikováno v:
Izvestiya: Mathematics. 61:517-535
Lower estimates are obtained for the topological entropy of geodesic flows on simply connected manifolds. The estimates involve two constants; one depends on the homotopy type of the manifold only, and the other, introduced in this paper, on the prop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32530721a3c03972d5d1f80c7d6bee7d
https://doi.org/10.1070/im1997v061n03abeh000123
https://doi.org/10.1070/im1997v061n03abeh000123
Autor:
N. N. Nekhoroshev, I. K. Babenko
Publikováno v:
Mathematical Notes. 58:1129-1135
In this paper the set of complex structures on a torus admitting Riemannian metrics (consistent with these complex structures) with nontrivial quadratic integrals is described.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6db12d25e8c5e60039400b1b62bc8b78
https://doi.org/10.1007/bf02304996
https://doi.org/10.1007/bf02304996
Autor:
I K Babenko
Publikováno v:
Russian Academy of Sciences. Izvestiya Mathematics. 44:427-430
It is shown that the asymptotic volumes of smooth manifolds remain unchanged under surgeries that preserve the fundamental group.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aaa737cde18f8b865ead8597c0b52b08
https://doi.org/10.1070/im1995v044n02abeh001606
https://doi.org/10.1070/im1995v044n02abeh001606
Autor:
I K Babenko
Publikováno v:
Izvestiya: Mathematics. 59:321-332
The behaviour is studied of asymptotic volumes of smooth manifolds under surgery. It is demonstrated that the asymptotic volume depends on the class of singular bordisms of the Eilenberg-MacLane space for the corresponding group. The relationship bet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::470d501298d1a21cc94084e6ffc5cf32
https://doi.org/10.1070/im1995v059n02abeh000013
https://doi.org/10.1070/im1995v059n02abeh000013
Autor:
I K Babenko
Publikováno v:
Russian Academy of Sciences. Izvestiya Mathematics. 41:1-38
Certain new homotopy invariants of non-simply-connected smooth manifolds are constructed and investigated. Relations are examined between these invariants and some questions of "geometry in the large".
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6e3c87764d42f84f51ec73246011f2c
https://doi.org/10.1070/im1993v041n01abeh002181
https://doi.org/10.1070/im1993v041n01abeh002181
Autor:
I K Babenko
Publikováno v:
Mathematics of the USSR-Sbornik. 71:1-13
A lower bound is given for the number of periodic trajectories inside a strictly convex domain in three dimensional space.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f08e75a16ea48829085cca94b16e04b
https://doi.org/10.1070/sm1992v071n01abeh001273
https://doi.org/10.1070/sm1992v071n01abeh001273
Autor:
I K Babenko
Publikováno v:
Mathematics of the USSR-Sbornik. 72:207-220
Properties of trajectories of scattering billiards on the flat two-dimensional torus are considered. A Riemann surface is associated with such a billiard in a natural way, while the billiard flow lifts in a natural way to the manifold of linear eleme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d399fd405ee2eb8ac1d04649e925229
https://doi.org/10.1070/sm1992v072n01abeh001268
https://doi.org/10.1070/sm1992v072n01abeh001268
Autor:
S A Bogatyĭ, I K Babenko
Publikováno v:
Mathematics of the USSR-Izvestiya. 38:1-26
This paper strengthens a theorem due to A. Dold on the algebraic properties of sequences of integers which are Lefschetz numbers of the iterates of a continuous map from a finite polyhedron to itself. The realizability of sequences satisfying Dold's
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce86a2a0a8e39f32538201e9285ada8f
https://doi.org/10.1070/im1992v038n01abeh002185
https://doi.org/10.1070/im1992v038n01abeh002185
Autor:
I. K. Babenko
Publikováno v:
Mathematical Notes of the Academy of Sciences of the USSR. 48:629-632
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ba4af2216c027df4a6b28bd22c622dc
https://doi.org/10.1007/bf01164257
https://doi.org/10.1007/bf01164257