Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Ivan Babenko"'
Publikováno v:
Journal für die reine und angewandte Mathematik
Journal für die reine und angewandte Mathematik, 2017, ⟨10.1515/crelle-2017-0041⟩
Journal für die reine und angewandte Mathematik, Walter de Gruyter, 2017, ⟨10.1515/crelle-2017-0041⟩
Journal für die reine und angewandte Mathematik, 2017, ⟨10.1515/crelle-2017-0041⟩
Journal für die reine und angewandte Mathematik, Walter de Gruyter, 2017, ⟨10.1515/crelle-2017-0041⟩
Twenty years ago Gromov asked about how large is the set of isomorphism classes of groups whose systolic area is bounded from above. This article introduces a new combinatorial invariant for finitely presentable groups called {\it simplicial complexi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4cf597b41c59f73e3418137feaca2788
https://hal.science/hal-02069192
https://hal.science/hal-02069192
Autor:
Daniel Massart, Ivan Babenko
Publikováno v:
European Journal of Mathematics
European Journal of Mathematics, Springer, 2017, 3 (4), pp.899-915. 〈10.1007/s40879-017-0181-1〉
European Journal of Mathematics, Springer, 2017, 3 (4), pp.899-915. ⟨10.1007/s40879-017-0181-1⟩
European Journal of Mathematics, Springer, 2017, 3 (4), pp.899-915. 〈10.1007/s40879-017-0181-1〉
European Journal of Mathematics, Springer, 2017, 3 (4), pp.899-915. ⟨10.1007/s40879-017-0181-1⟩
International audience; We define Dirichlet type series associated with homology length spectra of Riemannian, or Finsler, manifolds, or polyhedra, and investigate some of their analytical properties. As a consequence we obtain an inequality analogou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a10ed71e36a500c3b33e4672ac7595e
https://hal.archives-ouvertes.fr/hal-01516391/document
https://hal.archives-ouvertes.fr/hal-01516391/document
Autor:
Ivan Babenko, Florent N. Balacheff
Publikováno v:
manuscripta mathematica
manuscripta mathematica, Springer Verlag, 2006, 119 (3), pp.347-358. ⟨10.1007/s00229-005-0622-x⟩
manuscripta mathematica, Springer Verlag, 2006, 119 (3), pp.347-358. ⟨10.1007/s00229-005-0622-x⟩
For a Riemannian polyhedra, we study the geometry of the unit ball for the unidimensional stable norm (stable ball). In the case of a unidimensional Riemannian polyhedra (graph), we show that the stable ball is a polytope whose vertices are completel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93730903b36ecc6456ec1aad500c40b5
https://doi.org/10.1007/s00229-005-0622-x
https://doi.org/10.1007/s00229-005-0622-x
Autor:
Ivan Babenko, Florent Balacheff
Publikováno v:
Mathematische Annalen. 333:157-180
Nous etudions la constante systolique de la somme connexe de n exemplaires d’une variete M en fonction de ce nombre. Le comportement asymptotique de cette constante, connu dans le cas deux dimensionnel, demeure un probleme ouvert dans les dimension
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be4b174d46d5e36353fbecb0953dec08
https://doi.org/10.1007/s00208-005-0668-9
https://doi.org/10.1007/s00208-005-0668-9
Autor:
Mikhail G. Katz, Ivan Babenko
Publikováno v:
Annales Scientifiques de l’École Normale Supérieure. 31:787-809
In 1972, Marcel Berger defined a metric invariant that captures the ‘size’ of k-dimensional homology of a Riemannian manifold. This invariant came to be called the k-dimensional systole. He asked if the systoles can be constrained by the volume,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91b03667f961b90e0754f3601c83361e
https://doi.org/10.1016/s0012-9593(99)80003-2
https://doi.org/10.1016/s0012-9593(99)80003-2
Publikováno v:
Mathematical Research Letters. 5:461-471
Let X be a closed manifold of dimension 2m >= 6 with torsion-free middle-dimensional homology. We construct metrics on X of arbitrarily small volume, such that every middle-dimensional submanifold of less than unit volume necessarily bounds. Thus, Lo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d52f0580d23d6a56f949db373677998d
https://doi.org/10.4310/mrl.1998.v5.n4.a4
https://doi.org/10.4310/mrl.1998.v5.n4.a4
Autor:
Ivan Babenko, Florent Balacheff
Publikováno v:
Algebr. Geom. Topol. 15, no. 2 (2015), 733-767
Let G be a finitely presentable group and fix a nontrivial homology class a2Hm.G;Z/ of dimension m 1. In order to study topological and algebraic properties of the class a , we consider the various ways this class can be realized by a pseudomanifold
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96fbc688b6dcc0a2339853c8a8e20701
http://arxiv.org/abs/1009.2835
http://arxiv.org/abs/1009.2835