# Publikácie

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 [1] Korba¹ Július: The characteristic rank and cup-length in oriented Grassmann manifolds, Osaka Journal of Mathematics, 52(4), (2015), 1163-1172. [2] Balko ¥udovít and Korba¹ Július: A note on the characteristic rank and related numbers, Mathematica Slovaca, 64(6), (2014), 1541-1544. [3] Balko ¥udovít and Korba¹ Július: A note on the characteristic rank of null-cobordant manifolds, Acta Mathematica Hungarica, 140(1-2), (2013), 145-150. [4] Korba¹ Július: On parallelizability and span of the Dold manifolds, Proceedings of the American Mathematical Society , 141(8), (2013), 2933-2939. [5] Korba¹ Július, Naolekar Aniruddha C. and Thakur Ajay Singh: Characteristic rank of vector bundles over Stiefel manifolds, Archiv der Mathematik (Basel), 99(6), (2012), 577-581. [6] J. Korba¹: The cup-length of the oriented Grassmannians vs a new bound for zero-cobordant manifolds, Bulletin of the Belgian Mathematical Society-Simon Stevin, 17(1), (2010), 69-81. [7] Balko ¥udovít and Korba¹ Július: A note on the characteristic rank of a smooth manifold. In Group actions and homogeneous spaces, pp. 1-8, Fakulta Matematiky, Fyziky a Informatiky Univezity Komenského, Bratislava, 2010. [8] J. Korba¹: An Arm Trick for Unarmed Performers, The Mathematical Intelligencer, 31(2), (2009), 5-6. [9] J. Korba¹ and P. Novotný : On the dual Stiefel-Whitney classes of some Grassmann manifolds, Acta Mathematica Hungarica, 123(4), (2009), 319-330. [10] M. Fecko, J. Korba¹, M. Niepel and P. ©evera: Zimná ¹kola zo symplektickej geometrie, Bratislava, Fakulta matematiky, fyziky a informatiky Univerzity Komenského, 5.- 9. február 2007; spracované texty predná¹ok, Kni¾nièné a edièné centrum FMFI UK, Bratislava, 2008. [11] J. Korba¹: A note on the height of the canonical Stiefel-Whitney classes of the oriented Grassmann manifolds. In O. Kowalski and D. Krupka and O. Krupková and J. Slovák, editor, Differential Geometry and its Applications, Proc. Conf., in Honour of Leonhard Euler, Olomouc (Czechia), August 2007, pp. 455--462, World Scientific, Singapore, 2008. [12] J. Korba¹: Distributions, vector distributions, and immersions of manifolds in Euclidean spaces, Elsevier, 2007. [13] Július Korba¹: Bounds for the cup-length of Poincaré spaces and their applications, Topology Appl., 153(15), (2006), 2976-2986. [14] Július Korba¹: On the vector field problem for $O(n)/O(1) \times O(1) \times O(n-2)$, Acta Mathematica Hungarica, 105(1-2), (2004), 123-131. [15] Július Korba¹: On fibrations with the Grassmann manifold of two-planes as fiber, Universitatis Iagellonicae Acta Mathematica, 42, (2004), 1-5. [16] Július Korba¹ and Juraj Lörinc: The $Z_2$-cohomology cup-length of real flag manifolds, Fundamenta Mathematicae, 178(2), (2003), 143-158. [17] Július Korba¹: Lineárna algebra a geometria I, Univerzita Komenského, Bratislava, 2003. [18] Július Korba¹: On fibrations with Grassmannian fibers, Bulletin of the Belgian Mathematical Society, 8(1), (2001), 119-130. [19] Július Korba¹: On cohomology of fiber bundles with Grassmannian fibers., Universitatis Iagellonicae Acta Mathematica, 38(1), (2000), 9-15. [20] ¥ubomíra Horanská and Július Korba¹: On cup products in some manifolds., Bulletin of the Belgian Mathematical Society, 7(1), (2000), 21-28. [21] Július Korba¹ and Parameswaran Sankaran: Almost complex and complex structures on real projective Stiefel manifolds., Rend. Circ. Mat. Palermo, II. Ser., 48(1), (1999), 5-12. [22] Július Korba¹ and András Szücs: The Lyusternik-Shnirel'man category, vector bundles, and immersions of manifolds., Manuscr. Math., 95(3), (1998), 289-294. [23] Július Korba¹ and Peter Zvengrowski: On sectioning tangent bundles and other vector bundles.. In Bures, J. (ed.) et al., Proceedings of the Winter School on geometry and physics, Srní, Czech Republic, January 1994. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 39, 85-104, 1996. [24] Július Korba¹ and Peter Zvengrowski: The vector field problem: A survey with emphasis on specific manifolds., Expo. Math., 12(1), (1994), 3-30. [25] Július Korba¹: On sectioning multiples of vector bundles and more general homomorphism bundles., Manuscr. Math., 82(1), (1994), 67-70. [26] Július Korba¹: Note on a generalization of the generalized vector field problem., Math. Slovaca, 43(3), (1993), 337-340. [27] Vojtech Bartík and Július Korba¹: Stationary point free elementary abelian 2-group actions on Grassmannians -- an elementary approach., Arch. Math., 60(6), (1993), 563-567. [28] Július Korba¹: The rank of vector fields on real Grassmann manifolds., Rend. Circ. Mat. Palermo, II. Ser., 41(1), (1992), 29-30. [29] J. Korba¹ and P. Sankaran: On continuous maps between Grassmann manifolds., Proc. Indian Acad. Sci., Math. Sci., 101(2), (1991), 111-120. [30] Július Korba¹: Note on Stiefel-Whitney classes of flag manifolds.. In Geometry and physics, Proc. Winter Sch., Srnî/Czech. 1987, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 16, 109-111, 1987. [31] Ulrich Koschorke and Július Korba¹: The rank of vector fields on Grassmannian manifolds.. In Geometry and physics, Proc. Winter Sch., Srní/Czech. 1987, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 16, 113-117, 1987. [32] Július Korba¹: On the nonexistence of almost complex structures on some oriented flag manifolds.. In Differential geometry and its applications, Proc. Conf., Brno/Czech. 1986, Commun., 175-179, 1987. [33] Július Korba¹: Some partial formulae for Stiefel-Whitney classes of Grassmannians., (1986), [34] Július Korba¹: On the Stiefel-Whitney classes and the span of real Grassmannians., (1986), [35] Július Korba¹: Vector fields on real flag manifolds., Ann. Global Anal. Geom., 3, (1985), 173-184. [36] Vojtech Bartík and Július Korba¹: Stiefel-Whitney characteristic classes and parallelizability of Grassmann manifolds., Rend. Circ. Mat. Palermo, II. Ser., 6, (1984), 19-29. [37] V. Bartík, K. John and J. Korba¹: Tensor products of operators and Horn's inequality.. In Spectral theory of linear operators and related topics, 8th Int. Conf. Oper. Theory, Timisoara \& Herculane/Rom. 1983, Oper. Theory, Adv. Appl. 14, 39-46, 1984.