Edit Profile (opens in new tab) Gelbukh, Irina Author ID: gelbukh.irina Published as: Gelbukh, Irina; Gelbukh, I. Homepage: https://www.i.gelbukh.com/ External Links: ORCID · Google Scholar · dblp Documents Indexed: 20 Publications since 2005 Reviewing Activity: 11 Reviews Co-Authors 20 single-authored all top 5 Serials 4 Czechoslovak Mathematical Journal 3 Mathematica Slovaca 2 Publicationes Mathematicae 2 Studia Scientiarum Mathematicarum Hungarica 2 Differential Geometry and its Applications 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Monatshefte für Mathematik 1 Discrete & Computational Geometry 1 Turkish Journal of Mathematics all top 5 Fields 16 Manifolds and cell complexes (57-XX) 15 Global analysis, analysis on manifolds (58-XX) 5 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 79 times in 23 Documents Cited by ▼ Year ▼ Presence of minimal components in a Morse form foliation. Zbl 1070.57016Gelbukh, Irina 12 2005 On the structure of a Morse form foliation. Zbl 1224.57010Gelbukh, I. 12 2009 Number of minimal components and homologically independent compact leaves for a Morse form foliation. Zbl 1274.57005Gelbukh, Irina 8 2009 The co-rank of the fundamental group: the direct product, the first Betti number, and the topology of foliations. Zbl 1424.14003Gelbukh, Irina 8 2017 Ranks of collinear Morse forms. Zbl 1210.57027Gelbukh, Irina 7 2011 Loops in Reeb graphs of \(n\)-manifolds. Zbl 1391.05144Gelbukh, Irina 6 2018 Close cohomologous Morse forms with compact leaves. Zbl 1289.57009Gelbukh, Irina 6 2013 Isotropy index for the connected sum and the direct product of manifolds. Zbl 1413.58016Gelbukh, Irina 4 2017 Structure of a Morse form foliation on a closed surface in terms of genus. Zbl 1223.57022Gelbukh, Irina 3 2011 The number of split points of a Morse form and the structure of its foliation. Zbl 1324.57004Gelbukh, Irina 3 2013 On collinear closed one-forms. Zbl 1226.57040Gelbukh, Irina 2 2011 The number of minimal components and homologically independent compact leaves of a weakly generic Morse form on a closed surface. Zbl 1280.57021Gelbukh, I. 2 2013 Morse-Bott functions with two critical values on a surface. Zbl 07396203Gelbukh, Irina 2 2021 Co-rank and Betti number of a group. Zbl 1363.20034Gelbukh, Irina 1 2015 On compact leaves of a Morse form foliation. Zbl 1240.57011Gelbukh, Irina 1 2011 A finite graph is homeomorphic to the Reeb graph of a Morse-Bott function. Zbl 1478.58005Gelbukh, Irina 1 2021 Sufficient conditions for the compactifiability of a closed one-form foliation. Zbl 1424.57008Gelbukh, Irina 1 2017 Morse-Bott functions with two critical values on a surface. Zbl 07396203Gelbukh, Irina 2 2021 A finite graph is homeomorphic to the Reeb graph of a Morse-Bott function. Zbl 1478.58005Gelbukh, Irina 1 2021 Loops in Reeb graphs of \(n\)-manifolds. Zbl 1391.05144Gelbukh, Irina 6 2018 The co-rank of the fundamental group: the direct product, the first Betti number, and the topology of foliations. Zbl 1424.14003Gelbukh, Irina 8 2017 Isotropy index for the connected sum and the direct product of manifolds. Zbl 1413.58016Gelbukh, Irina 4 2017 Sufficient conditions for the compactifiability of a closed one-form foliation. Zbl 1424.57008Gelbukh, Irina 1 2017 Co-rank and Betti number of a group. Zbl 1363.20034Gelbukh, Irina 1 2015 Close cohomologous Morse forms with compact leaves. Zbl 1289.57009Gelbukh, Irina 6 2013 The number of split points of a Morse form and the structure of its foliation. Zbl 1324.57004Gelbukh, Irina 3 2013 The number of minimal components and homologically independent compact leaves of a weakly generic Morse form on a closed surface. Zbl 1280.57021Gelbukh, I. 2 2013 Ranks of collinear Morse forms. Zbl 1210.57027Gelbukh, Irina 7 2011 Structure of a Morse form foliation on a closed surface in terms of genus. Zbl 1223.57022Gelbukh, Irina 3 2011 On collinear closed one-forms. Zbl 1226.57040Gelbukh, Irina 2 2011 On compact leaves of a Morse form foliation. Zbl 1240.57011Gelbukh, Irina 1 2011 On the structure of a Morse form foliation. Zbl 1224.57010Gelbukh, I. 12 2009 Number of minimal components and homologically independent compact leaves for a Morse form foliation. Zbl 1274.57005Gelbukh, Irina 8 2009 Presence of minimal components in a Morse form foliation. Zbl 1070.57016Gelbukh, Irina 12 2005 all cited Publications top 5 cited Publications all top 5 Cited by 13 Authors 16 Gelbukh, Irina 2 Michalak, Łukasz Patryk 1 Băbălîc, Elena-Mirela 1 Bei, Xiaohui 1 Chen, Shiteng 1 Feshchenko, Bohdan 1 Gelbukha, Irina 1 Gritsans, Armands 1 Guan, Ji 1 Lazaroiu, Calin Iuliu 1 Qiao, Youming 1 Sun, Xiaoming 1 Yermachenko, Inara all top 5 Cited in 16 Serials 4 Czechoslovak Mathematical Journal 3 Mathematica Slovaca 2 Discrete & Computational Geometry 2 Differential Geometry and its Applications 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Monatshefte für Mathematik 1 SIAM Journal on Computing 1 Topological Methods in Nonlinear Analysis 1 Turkish Journal of Mathematics 1 Filomat 1 Journal of High Energy Physics 1 Mathematical Modelling and Analysis 1 Proceedings of the International Geometry Center all top 5 Cited in 10 Fields 16 Manifolds and cell complexes (57-XX) 14 Global analysis, analysis on manifolds (58-XX) 7 Combinatorics (05-XX) 4 Computer science (68-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year