## 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)

### 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 1070.57016
Gelbukh, Irina
2005
On the structure of a Morse form foliation. Zbl 1224.57010
Gelbukh, I.
2009
Number of minimal components and homologically independent compact leaves for a Morse form foliation. Zbl 1274.57005
Gelbukh, Irina
2009
The co-rank of the fundamental group: the direct product, the first Betti number, and the topology of foliations. Zbl 1424.14003
Gelbukh, Irina
2017
Ranks of collinear Morse forms. Zbl 1210.57027
Gelbukh, Irina
2011
Loops in Reeb graphs of $$n$$-manifolds. Zbl 1391.05144
Gelbukh, Irina
2018
Close cohomologous Morse forms with compact leaves. Zbl 1289.57009
Gelbukh, Irina
2013
Isotropy index for the connected sum and the direct product of manifolds. Zbl 1413.58016
Gelbukh, Irina
2017
Structure of a Morse form foliation on a closed surface in terms of genus. Zbl 1223.57022
Gelbukh, Irina
2011
The number of split points of a Morse form and the structure of its foliation. Zbl 1324.57004
Gelbukh, Irina
2013
On collinear closed one-forms. Zbl 1226.57040
Gelbukh, Irina
2011
The number of minimal components and homologically independent compact leaves of a weakly generic Morse form on a closed surface. Zbl 1280.57021
Gelbukh, I.
2013
Morse-Bott functions with two critical values on a surface. Zbl 07396203
Gelbukh, Irina
2021
Co-rank and Betti number of a group. Zbl 1363.20034
Gelbukh, Irina
2015
On compact leaves of a Morse form foliation. Zbl 1240.57011
Gelbukh, Irina
2011
A finite graph is homeomorphic to the Reeb graph of a Morse-Bott function. Zbl 1478.58005
Gelbukh, Irina
2021
Sufficient conditions for the compactifiability of a closed one-form foliation. Zbl 1424.57008
Gelbukh, Irina
2017
Morse-Bott functions with two critical values on a surface. Zbl 07396203
Gelbukh, Irina
2021
A finite graph is homeomorphic to the Reeb graph of a Morse-Bott function. Zbl 1478.58005
Gelbukh, Irina
2021
Loops in Reeb graphs of $$n$$-manifolds. Zbl 1391.05144
Gelbukh, Irina
2018
The co-rank of the fundamental group: the direct product, the first Betti number, and the topology of foliations. Zbl 1424.14003
Gelbukh, Irina
2017
Isotropy index for the connected sum and the direct product of manifolds. Zbl 1413.58016
Gelbukh, Irina
2017
Sufficient conditions for the compactifiability of a closed one-form foliation. Zbl 1424.57008
Gelbukh, Irina
2017
Co-rank and Betti number of a group. Zbl 1363.20034
Gelbukh, Irina
2015
Close cohomologous Morse forms with compact leaves. Zbl 1289.57009
Gelbukh, Irina
2013
The number of split points of a Morse form and the structure of its foliation. Zbl 1324.57004
Gelbukh, Irina
2013
The number of minimal components and homologically independent compact leaves of a weakly generic Morse form on a closed surface. Zbl 1280.57021
Gelbukh, I.
2013
Ranks of collinear Morse forms. Zbl 1210.57027
Gelbukh, Irina
2011
Structure of a Morse form foliation on a closed surface in terms of genus. Zbl 1223.57022
Gelbukh, Irina
2011
On collinear closed one-forms. Zbl 1226.57040
Gelbukh, Irina
2011
On compact leaves of a Morse form foliation. Zbl 1240.57011
Gelbukh, Irina
2011
On the structure of a Morse form foliation. Zbl 1224.57010
Gelbukh, I.
2009
Number of minimal components and homologically independent compact leaves for a Morse form foliation. Zbl 1274.57005
Gelbukh, Irina
2009
Presence of minimal components in a Morse form foliation. Zbl 1070.57016
Gelbukh, Irina
2005
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)