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dr. Kurusa Árpád
matematikus, egyetemi docens
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Geometriai Tanszék Bolyai Intézet Természettudományi és Informatikai Kar Szegedi Tudományegyetem |
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Letölthetők
Tudományos cikkek
Tudományos cikkeim (Angolul)
Á. Kurusa & T. Ódor: Boundary-rigidity of projective metrics and the geodesic X-ray transform, J. Geom. Anal., 32 (2022), 216; DOI: 10.1007/s12220-022-00942-y.
Á. Kurusa: Support theorems for Funk-type isodistant Radon transforms on constant curvature spaces, Ann. Mat. Pura Appl., ? (2021), ?-?; DOI: 10.1007/s10231-021-01152-z.
Quadratic hyperboloids in Minkowski geometries (517.13 kB)
Á. Kurusa & J. Kozma: Quadratic hyperboloids in Minkowski geometries, Mediterr. J. Math., 19 (2022), 106; DOI: 10.1007/s00009-022-02002-9.
Quadratic ellipsoids in Minkowski geometries (522.38 kB)
Á. Kurusa: Quadratic ellipsoids in Minkowski geometries, Aequat. Math., ? (2021), ?-?; DOI: 10.1007/s00010-021-00839-1
Tiling a circular disc with congruent pieces (547.49 kB)
Á. Kurusa, Zsolt Lángi, Viktor Vígh: Tiling a circular disc with congruent pieces, Mediterr. J. Math., 17 (2020), 156; DOI: 10.1007/s00009-020-01595-3 arXiv: 1910.03836
Á. Kurusa: Ceva's and Menelaus' theorems in projective-metric spaces, Journal of Geometry, 110 (2019), 39; DOI: 10.1007/s00022-019-0495-x.
Finding needles in a haystack (466.76 kB)
Á. Kurusa: Finding needles in a haystack, Discrete Comput. Geom., 65(2021), 470-475. DOI: 10.1007/s00454-020-00217-9.
Hilbert geometries with Riemannian points (571.83 kB)
Á. Kurusa: Hilbert geometries with Riemannian points, Annali di Matematica, 199 (2020), 809--820; DOI: 10.1007/s10231-019-00901-5
Curvature in Hilbert geometries (529.84 kB)
Á. Kurusa: Curvature in Hilbert geometries, International J. Geometry, 9:1 (2020), 85--94;
IJG-01-0361-2020
Euler's ratio-sum theorem revisited (363.02 kB)
Á. Kurusa & J. Kozma: Euler's ratio-sum theorem revisited, Glob. J. Adv. Res. Class. Mod. Geom., 9:2 (2020), 83--89;
GJARCMG9:2(2020)83--89 .
Á. Kurusa & J. Kozma: Euler's ratio-sum formula in projective-metric spaces, Beiträge zur Algebra und Geometrie, 60:2 (2019), 379--390; DOI: 10.1007/s13366-018-0422-6.
G. Czédli & Á. Kurusa: A convex combinatorial property of compact sets in the plane and its roots in lattice theory, Categories and General Algebraic Structures with Applications, 10 (2019).
CGASA
Conics in Minkowski geometry (558.01 kB)
Á. Kurusa: Conics in Minkowski geometry, Aequationes Math., 92 (2018), 949--961; DOI: 10.1007/s00010-018-0592-1.
Straight projective-metric spaces with centers (504.59 kB)
Á. Kurusa: Straight projective-metric spaces with centers, J. Geom., 109 (2018), 22. DOI: 10.1007/s00022-018-0426-2.
Can you see the bubbles in a foam? (844.55 kB)
Á. Kurusa: Can you see the bubbles in a foam?, Acta Sci. Math. (Szeged), 82:3-4(2016), 663--694 DOI: 10.14232/actasm-015-299-1
Inequalities for hyperconvex sets (326.57 kB)
F. Fodor, Á. Kurusa and V. Vígh: Inequalities for hyperconvex sets, Advances of Geometry, 16:3(2016), 337--348 DOI: 10.1515/advgeom-2016-0013
J. Kozma and Á. Kurusa: Hyperbolic is the only Hilbert geometry having circumcenter or orthocenter generally, Beitr. Alg. Geom. 57:1(2016), 243--258. DOI: 10.1007/s13366-014-0233-3
Spherical floating body (669.04 kB)
Á. Kurusa and T. Ódor: Spherical floating body, Acta Sci. Math. (Szeged), 81:3-4(2015), 699-714. DOI: 10.14232/actasm-014-801-8
J. Kozma and Á. Kurusa: Ceva's and Menelaus' theorems characterize the hyperbolic geometry among Hilbert geometries, J. Geom. 106:3 (2015), 465-470. DOI: 10.1007/s00022-014-0258-7
Isoptic characterization of spheres (668.75 kB)
Á. Kurusa and T. Ódor: Isoptic characterization of spheres, J. Geom 106:1(2015), 63-73. DOI: 10.1007/s00022-014-0232-4
Characterizations of balls by sections and caps (647.96 kB)
Á. Kurusa and T. Ódor: Characterizations of balls by sections and caps, Beitr. Alg. Geom., 56:2(2015), 459-471. DOI: 10.1007/s13366-014-0203-9
Identifying rotational Radon transforms (373.03 kB)
Á. Kurusa: Identifying rotational Radon transforms, Period. Math. Hungar., 67:2 (2013), 187-209.
DOI: 10.1007/s10998-013-5391-9
Visual distinguishability of polygons (287.32 kB)
Á. Kurusa: Visual distinguishability of polygons, Beiträge zur Alg. und Geom., 54 (2013), 659-667.
DOI: 10.1007/s13366-012-0121-7
Visual distinguishability of segments (546.37 kB)
Á. Kurusa: Visual distinguishability of segments, Int. Electron. J. Geom., 6:1 (2013), 56-67. Közvetlen: IEJG
Á. Kurusa: The shadow picture problem for parallel straight lines, J. Geom., 103:3(2012), 515--518. DOI: 10.1007/s00022-012-0137-z
Is a convex plane body determined by an isoptic? (410.19 kB)
Á. Kurusa: Is a convex plane body determined by an isoptic?, Beiträge zur Alg. und Geom., 53(2012), 281--294.
DOI: 10.1007/s13366-011-0074-2
Á. Kurusa: Orbital integrals on the Lorentz space of curvature -1, Arch. Math., 75(2000), 132--146. DOI: 10.1007/PL00000433
Limited domain Radon transform (284.40 kB)
Á. Kurusa: Limited domain Radon transform, Math. Balkanica, 11(1997), 327--337.
Á. Kurusa: The totally geodesic Radon transform on the Lorentz space of curvature -1, Duke Math J., 86(1997), 565--583. DOI: 10.1215/S0012-7094-97-08618-X
Radon transform on spaces of constant curvature (266.75 kB)
C. A. Berenstein, E. Casadio-Tarabusi and Á. Kurusa: Radon transform on spaces of constant curvature, Proc. Amer. Math. Soc., 125(1997), 455--461. DOI: 10.1090/S0002-9939-97-03570-3
Generalized X-ray pictures (258.96 kB)
Á. Kurusa: Generalized X-ray pictures, Publ. Math. Debrecen, 48(1996), 193--199.
Á. Kurusa: You can recognize the shape of a figure by its shadows!, Geom. Dedicata, 59(1996), 113--125. DOI: 10.1007/BF00155723
Á. Kurusa: The shadow picture problem for nonintersecting curves, Geom. Dedicata, 59(1996), 103--112. DOI: 10.1007/BF00181528
Romanov's theorem in higher dimensions (261.23 kB)
Á. Kurusa: Romanov's theorem in higher dimensions, Acta Sci. Math. (Szeged), 60(1995), 487--493.
J. Kincses and Á. Kurusa: Can you recognize the shape of a figure by its shadows?, Beiträge zur Alg. und Geom., 36(1995), 25--35.
Á. Kurusa: Support theorems for totally geodesic Radon transforms on constant curvature spaces, Proc. Amer. Math. Soc., 122(1994), 429--435. DOI: 10.2307/2161033
The Radon transform on half sphere (332.08 kB)
Á. Kurusa: The Radon transform on half sphere, Acta Sci. Math. (Szeged), 58(1993), 143--158.
Support curves of invertible Radon transforms (342.69 kB)
Á. Kurusa: Support curves of invertible Radon transforms, Arch. Math., 61(1993), 448--458. DOI: 10.1007/BF01207544
Local geometric loops (249.92 kB)
Á. Kurusa: Local geometric loops, Radovi Math., 8(1992), 241--248
Kurusa Á.: The invertibility of the Radon transform on abstract rotational manifolds of real type, Math. Scand., 70(1992), 112--126.
New unified Radon inversion formulas (278.02 kB)
Á. Kurusa: New unified Radon inversion formulas, Acta Math. Hungar., 60(1992), 283--290. DOI: 10.1007/BF00051646
Translation invariant Radon transforms (271.35 kB)
Á. Kurusa: Translation invariant Radon transforms, Math. Balkanica (New Series), 5(1991), 40--46.
The Radon transform on hyperbolic space (333.98 kB)
Á. Kurusa: The Radon transform on hyperbolic space, Geom. Dedicata, 40(1991), 325--339. DOI: 10.1007/BF00189917
Á. Kurusa: A characterization of the Radon transform's range by a system of PDEs, J. Math. Anal. Appl., 161(1991), 218--226. DOI: 10.1016/0022-247X(91)90371-6
Á. Kurusa: A characterization of the Radon transform and its dual on Euclidean space, Acta Sci. Math. (Szeged), 54(1990), 273--276.
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