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Elfogadott dolgozatok
Á. Figula and G. Falcone, The action of a compact Lie group on nilpotent Lie algebras of type {n,2}, accepted for publication in Forum Math., pp. 16.
[pdf]
Á. Figula, G. Falcone and Karl Strambach, Multiplicative loops of 2-dimensional topological quasifields, accepted for publication in Communications in Algebra, pp. 29.
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Á. Figula and M. Z. Menteshashvili, On the geometry of the domain of the solution of nonlinear Cauchy problem, accepted for publication in UNIPA Springer Series, pp. 14.
[pdf]
D. Cs. Kertész and L. Tamássy, Differentiable distance spaces.
[arxiv]
Gy. Szanyi, The study of the preparation of function concept.
Gy. Szanyi, A szabályfelismerő és szabálykövető képességek fejlesztése a törtek tanítása során.
Gy. Szanyi, The investigation of students’ skills in the process of function concept creation.
2015
Z. Muzsnay and P. T. Nagy, Finsler 2-manifolds with maximal holonomy group of infinite dimension, Differential Geometry and its Applications, 39 (2015), 1–9.
[pdf] [journal] [doi]
Z. Muzsnay and P. T. Nagy, Projectively flat Finsler manifolds with infinite dimensional holonomy, Forum Mathematicum, 27 (2) (2015), 767–786.
[pdf]
Á. Figula and V. Kvaratskhelia, Some numerical characteristics of Sylvester and Hadamard matrices, Publ. Math. Debrecen, 86 (1-2) (2015), 149–168.
[pdf]
Á. Figula and M. Lattuca, Three-dimensional topological loops with nilpotent multiplication groups, J. Lie Theory, 25/3 ) (2015), 787–805.
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Cs. Vincze and Á. Nagy, An algorithm for the reconstruction of hv-convex planar bodies by finitely many and noisy measurements of their coordinate X-rays, Fundamenta Informaticae, 141 (2015), 169–189.
Cs. Vincze and Á. Nagy, Generalized conic functions of hv-convex planar sets: continuity properties and relations to X-rays, Aequationes Mathematicae, 89 (4) (2015), 1015–1030.
[journal]
Á. Nagy, Cs. Vincze, M. Barczy and Cs. Noszály, A Robbins-Monro-type algorithm for computing global minimizer of generalized conic functions, Optimization, 64 (9) (2015), 1999–2020.
[journal]
Á. Nagy, A short review on the theory of generalized conics, AMAPN, 31 (1) (2015), 81–96.
[journal]
B. Aradi, Left invariant Finsler manifolds are generalized Berwald, European Journal of Pure and Applied Mathematics 8 (1) (2015), 118–125.
[journal] [pdf]
D. Cs. Kertész, S. Deng and Z. Yan, There are no proper Berwald–Einstein manifolds, Publ. Math. Debrecen, 86 (2015).
[pdf]
D. Cs. Kertész, Finslerian Lie derivative and Landsberg manifolds, Acta Math. Acad. Paedagog. Nyházi. (N.S.), 31 (2) (2015).
[pdf]
2014
Z. Muzsnay and P. T. Nagy, Characterization of projective Finsler manifolds of constant curvature having infinite dimensional holonomy group, Publ. Math. Debrecen, 84 (1-2) (2014), 17–28.
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Z. Kovács and A. Lengyelné Tóth, Left invariant Randers metrics on the 3-dimensional Heisenberg group, Publ. Math. Debrecen, 85 (1-2) (2014), 161–179.
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B. Aradi and D. Cs. Kertész, Isometries, submetries and distance coordinates on Finsler manifolds, Acta Mathematica Hungarica 143 (2) (2014), 337–350.
[journal]
[2] B. Aradi and D. Cs. Kertész, A characterization of holonomy invariant functions on tangent bundles, Balkan Journal of Geometry and Its Applications 19(2) (2014), 1–10.
[pdf]
Könyvek
J. Szilasi, R. L. Lovas and D. Cs. Kertész, Connections, Sprays and Finsler Structures, World Scientific, 2014.
Z. Muzsnay and J. Grifone, Variational Principles for Second-order Differential Equations, World Scientific, Singapore, 2000.