Publications

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Details

Published on 2011. január 17. hétfő, 12:48

Most of these materials are downloadable in the downloadmanager, or from the university repositorium.

This is not really precise, as it is updated only in case of external pressure...

Official list: MTMT (Library of Scientific Publications by Hungarians (closed on 01.10.2018)).
MTMT2 (Library of Scientific Publications by Hungarians no. 2).

Automatic(?) lists maintained by others: Zentralblatt MATH, Math Sci Net (AMS MR author), Math Educ, Google Scholar, researchID (not completed yet), ORCID (not completed yet), Researchgate, Scopus (not completed yet).

Research papers (in English) (details)

[a49] Conics in Hilbert geometries

manuscript, - (2021), under preparation.

[a48] Metric characterizations of projective-metric spaces

manuscript, - (2021), ready to submit.

[a47] Quadratic hyperboloids in Hilbert geometries (with J. Kozma)

manuscript, - (2021), under preparation.

[a46] Quadratic ellipsoids in Hilbert geometries

manuscript, - (2021), under preparation.

[a45] Boundary-rigidity of projective metrics and the geodesic X-ray transform (with T. Ódor)

J. Geom. Anal., 32 (2022), 216; DOI: 10.1007/s12220-022-00942-y, DL: 168.

[a44] Quadratic hyperboloids in Minkowski geometries (with J. Kozma)

Mediterr. J. Math., 19 (2022), 106; DOI: 10.1007/s00009-022-02002-9, DL: 165.

[a43] Quadratic ellipsoids in Minkowski geometries

Aequationes Math., 96 (2022), 567–578; DOI: 10.1007/s00010-018-0592-1, DL: 164.

[a42] Finding needles in a haystack

Discrete Comput. Geom., 65 (2021), 470-475 DOI: 10.1007/s00454-020-00217-9, DL: 144, MR: 4212973 , Zbl: 1462.52001.

[a41] Support theorems for Funk-type isodistant Radon transforms on constant curvature spaces

Ann. Mat. Pura Appl., - (2020), DOI: 10.1007/s10231-021-01152-z, DL: 166.

[a40] Tiling a circular disc with congruent pieces (with Zs. Lángi and V. Vígh)

Mediterr. J. Math., 17 (2020), 156; DOI: 10.1007/s00009-020-01595-3, arXiv: 1910.03836, DL: 156, MR: 4137854 , Zbl: 1452.52015.

[a39] Euler's ratio-sum theorem revisited (with J. Kozma)

Glob. J. Adv. Res. Class. Mod. Geom., 9:2 (2020), 83--89; GJARCMG9:2(2020)83--89; DL: 141, MR: 4176332 .

[a38] Curvature in Hilbert geometries

Int. J. Geom., 9 (2020), 85--94. IJG-01-0361-2020, DL: 142, MR: 4088033 , Zbl: 1449.53005

[a37] Hilbert geometries with Riemannian points

Ann. Mat. Pura Appl., 199 (2020), 809--820; DOI: 10.1007/s10231-019-00901-5, DL: 143, MR: 4079661 , Zbl: 1447.53018.

[a36] Ceva's and Menelaus' theorems in projective-metric spaces

J. Geom., 110 (2019), 39; DOI: 10.1007/s00022-019-0495-x, DL: 151, MR: 3980551 , Zbl: 1428.51010.

[a35] A convex combinatorial property of compact sets in the plane and its roots in lattice theory (with G. Czédli)

Categ. Gen. Algebr. Struct. Appl., 11 (2019), 57--92; CGASA82639, arXiv: 1807.03443, DL: 139, MR: 3988338 , Zbl: 1428.52002.

[a34] Euler's ratio-sum formula in projective-metric spaces (with J. Kozma)

Beiträge zur Algebra und Geometrie, 60 (2019), 379--390; DOI: 10.1007/s13366-018-0422-6, DL: 140, MR: 3943869 , Zbl: 1419.51012.

[a33] Conics in Minkowski geometry

Aequationes Math., 92 (2018), 949--961. DOI: 10.1007/s00010-018-0592-1, DL: 138, MR: 3856784 , Zbl: 06944067.

[a32] Straight projective-metric spaces with centers

J. Geom., 109 (2018), 22. DOI: 10.1007/s00022-018-0426-2, arXiv: 1812.09312, DL: 137, MR: 3780135 , Zbl: 06876767.

[a31] 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, DL: 118, MR: 3616201 , Zbl: 1399.52006.

[a30] Inequalities for hyperconvex sets (with F. Fodor and V. Viktor)

Advances in Geometry, 16:3 (2016), 337--348. DOI: 10.1515/advgeom-2016-0013, DL: 107, MR: 3543670 , Zbl: 1386.52005.

[a29] Hyperbolic is the only Hilbert geometry having circumcenter or orthocenter generally (with J. Kozma)

Beiträge zur Algebra und Geometrie, 57:1 (2016), 243--258. DOI: 10.1007/s13366-014-0233-3, DL: 106, MR: 3457772 , Zbl: 1336.53022.

[a28] Spherical floating body (with T. Ódor)

Acta Sci. Math. (Szeged), 81:3-4 (2015), 699--714. DOI: 10.14232/actasm-014-801-8, DL: 111, MR: 3443778 , [ZB??].

[a27] Ceva's and Menelaus' theorems characterize the hyperbolic geometry among Hilbert geometries (with J. Kozma)

J. Geom., 106 (2015), 465--470. DOI: 10.1007/s00022-014-0258-7, DL: 105, MR: 3420560 , Zbl: 06516363.

[a26] Isoptic characterization of spheres (with T. Ódor)

J. Geom., 106 (2015), 63--73. DOI: 10.1007/s00022-014-0232-4, DL: 103, MR: 3320878 , Zbl: 1320.52009.

[a25] Characterizations of balls by sections and caps (with T. Ódor)

Beiträge zur Algebra und Geometrie, 56:2 (2015), 459--471. DOI: 10.1007/s13366-014-0203-9, DL: 104, MR: 3391183 , Zbl: 1330.52013.

[a24] Identifying rotational Radon transforms

Period. Math. Hungar., 67:2 (2013), 187--209. DOI: 10.1007/s10998-013-5391-9, DL: 95, MR: 3118291 , Zbl: 1324.44002.

[a23] Visual distinguishability of polygons

Beiträge zur Algebra und Geometrie, 54:2(2013), 659--667. DOI: 10.1007/s13366-012-0121-7, DL: 90, MR: 3095749 , Zbl: 1279.52004

[a22] Visual distinguishability of segments

Int. Electron. J. Geom., 6:1 (2013), 56--67. iejg597631, PDF, DL: 96 MR: 3048520 , Zbl: 1308.52005

[a21] The shadow picture problem for parallel straight lines

J. Geom., 103:3 (2012), 515--518. DOI: 10.1007/s00022-012-0137-z, DL: 98, MR: 3017059 , Zbl: 1266.52005

[a20] Is a convex plane body determined by an isoptic?

Beiträge zur Algebra und Geometrie, 53 (2012), 281--294. DL: 86, MR: 2890383 , Zbl: 1235.52005, DOI: 10.1007/s13366-011-0074-2

[a19] Orbital integrals on the Lorentz space of curvature -1

Arch. Math., 75(2000), 132--146. DOI: 10.1007/PL00000433, DL: 21, MR: 1767164 (2001g:44005), Zbl: 0970.44002

[a18] Limited domain Radon transform

Math. Balkanica, 11(1997), 327--337. DL: 20, MR: 1657444 (2000b:44003), Zbl: 1033.44500

[a17] 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, DL: 19, MR: 1432309 (98b:53072), Zbl: 0872.44003

[a16] Radon transform on spaces of constant curvature (with C. A. Berenstein and E. C. Tarabusi)

Proc. Amer. Math. Soc., 125(1997), 455--461. DOI: 10.1090/S0002-9939-97-03570-3, DL: 3, MR: 1350933 (97d:53074), Zbl: 0860.44003

[a15] Generalized X-ray pictures

Publ. Math. Debrecen, 48(1996), 193--199. DL: 18, MR: 1394840 (97g:52004), Zbl: 1274.52005

[a14] You can recognize the shape of a figure by its shadows!

Geom. Dedicata, 59(1996), 113--125. DOI: 10.1007/BF00155723, DL: 17, MR: 1371724 (96m:52004), Zbl: 0846.52001

[a13] The shadow picture problem for nonintersecting curves

Geom. Dedicata, 59(1996), 103--112. DOI: 10.1007/BF00181528, DL: 16, MR: 1371225 (96m:52005), Zbl: 0846.52002

[a12] Romanov's theorem in higher dimensions

Acta Sci. Math. (Szeged), 60(1995), 487--493. DL: 15, MR: 1348926 (96m:44004), Zbl: 0834.44003

[a11] Can you recognize the shape of a figure by its shadows? (with J. Kincses)

Beiträge zur Alg. und Geom., 36(1995), 25--35. DL: 14, MR: 1337120 (96h:52003), Zbl: 0828.52001, eudml: 232213

[a10] Support theorems for totally geodesic Radon transforms on constant curvature spaces

Proc. Amer. Math. Soc., 122(1994), 429--435. DL: 13, MR: 1198457 (95a:53111), Zbl: 0852.44001, DOI: 10.2307/2161033

[a09] The Radon transform on half sphere

Acta Sci. Math. (Szeged), 58(1993), 143--158. DL: 12, MR: 1264227 (95d:44005), Zbl: 0792.44003

[a08] Support curves of invertible Radon transforms

Arch. Math., 61(1993), 448--458. DL: 11, MR: 1241050 (94m:44001), Zbl: 0783.44001, DOI: 10.1007/BF01207544

[a07] Local geometric loops

Radovi Math., 8(1992), 241--248. DL: 5, MR: 1690729 (2000d:20082), Zbl: 0992.22002

[a06] The invertibility of the Radon transform on abstract rotational manifolds of real type

Math. Scand., 70(1992), 112--126. DL: 10, MR: 1174206 (93g:44009), Zbl: 0755.44004, DOI: 10.7146/math.scand.a-12389

[a05] New unified Radon inversion formulas

Acta Math. Hungar., 60(1992), 283--290. DOI: 10.1007/BF00051646, DL: 9, MR: 1177256 (94f:44004), Zbl: 0762.44001

[a04] Translation invariant Radon transforms

Math. Balkanica (New Series), 5(1991), 40--46. DL: 8, MR: 1136218 (93f:44002), Zbl: 0748.44003

[a03] The Radon transform on hyperbolic space

Geom. Dedicata, 40(1991), 325--339. DOI: 10.1007/BF00189917, DL: 7, MR: 1137086 (92k:53130), Zbl: 0803.44002

[a02] 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, DL: 6, MR: 1127559 (92k:44002), Zbl: 0754.44001

[a01] A characterization of the Radon transform and its dual on Euclidean space

Acta Sci. Math. (Szeged), 54(1990), 273--276. DL: 4, MR: 1096807 (92f:44006), Zbl: 0732.44001

Presentations (details)

[p04] Identifying X-ray transforms: the boundary-distance rigidity of projective metrics

Conference on Modern Challenges in Imaging In the Footsteps of Allan MacLeod Cormack On the Fortieth Anniversary of his Nobel Prize (Boston, USA), DOI: 10.13140/RG.2.2.16512.79366/1

[p03] Finding Needles in a Haystack (Determining the segments of a multi-curve by masking function)

Discrete Geometry Days² (Budapest), DOI: 10.13140/RG.2.2.22458.54727

[p02] Riemannian and quadrireciprocal points (Hilbert metric and geometric tomography)

2019 Szeged Workshop on Convexity (Szeged), DOI: 10.13140/RG.2.2.13708.77445

[p01] It pays to measure twice! (Lemma of double measuring)

2015 Szeged Workshop on Convexity (Szeged), DOI: 10.13140/RG.2.2.27351.16803

Educational articles (in Hungarian) (details)

[i10] Euler arányösszeg-tétele (Euler's ratio-sum theorem) (with J. Kozma)

KöMal, 3 (2019), 130--136; DL: 148

[i09] Egymásba írt háromszögek perspektivitása (Perspectivity of nested triangles) (with J. Kozma)

Polygon, 24:1 (2016), 1--11; DL: 119

[i08] Pitagoraszi számhármasok és ami mögöttük van (Pythagorean triples and beyond)

Polygon, 22:1-2 (2014), 57--68; DL: 102

[i07] Szakaszok ekvioptikusai: Apollóniosz tételének általánosítása (Equioptics of segments: generalisation of the Apollonius Circle)

Polygon, 21:2 (2013), 43-57; DL: 88

[i06] Kúpszeletek izoptikusai (Isoptics of conic sections)

Polygon, 19:2(2011), 27--46; DL: 28

[i05] Kötélgörbe, avagy miért hasonlítanak egymásra a kupolák? (Cateanary, or why the cupolas are so similar to eachother?)

Polygon, 18:1(2009), 33--45; DL: 27, ME: 2011b.00787.

[i04] Hallható-e a dob alakja? (Can one hear the shape of a drum?)

Polygon, 4:1(1994), 19--26; DL: 26.

[i03] A tomográfia matematikája (The mathematics of tomography)

Polygon, 2:1(1992), 83--96; DL: 25.

[i02] Felismerhető-e egy alakzat az árnyékképeiből? (Can you recognize the shape of a figure by its shadows?) (with J. Kincses)

Polygon, 1:2(1991), 69--80; DL: 24

[i01] Görbék a számítógépen (Curves by computers)

Polygon, 1:1(1991), 26--37; DL: 23

Books (in Hungarian) (details)

[b06] Bevezetés a geometriába (Introduction to geometry)

Polygon Jegyzettár 57, Polygon, Szeged, 2015. (details)

[b05] Nemeuklidészi geometriák (Non-euclidean geometries)

Polygon Jegyzettár 47, Polygon, Szeged, 2009. (details)

[b04] Euklidészi geometria (Euclidean geometry)

Polygon Jegyzettár 42, Polygon, Szeged, 2008. (details)

[b03] Számítógépes ábrázoló geometria alapjai (Basics of computational descriptive geometry) (with Á. Szemők)

Polygon Jegyzettár 14, Polygon, Szeged, 1999. (details)

[b02] Bevezetés a differenciálgeometriába (Introduction to differential geometry)

Polygon Jegyzettár 12, Polygon, Szeged, 1999. (details)

[b01] Számítógépes ábrázoló geometria (Computational descriptive geometry) (with Á. Szemők)

University notes, University of Szeged, Szeged, 1994. (details)

e-Books (in Hungarian) (details)

[e05] Nem euklidészi geometriák (Not euclidean geometries)

Szeged, 2021. (details)

[e04] Bevezetés a geometriába (Introduction to geometry)

Szeged, 2021. (details)

[e03] Bevezetés a differenciálgeometriába (Introduction to differential geometry)

Szeged, 2020. (details)

[e02] Számítógépes ábrázoló geometria alapjai (Basics of computerized descriptive geometry)

Szeged, 2020. (details)

[e01] Topológiai alapismeretek (Basics of topology)

Szeged, 2010-2013 (unfinished). (details)

Dissertations (in Hungarian) (details)

[d02] Matematikai tomográfia (Mathematical tomography)

Dissertation for habilitation, University of Szeged, 2017. DL: 120 DOI: 10.13140/RG.2.2.34273.45927

[d01] A Radon transzformáció (Radon transformation)

Dissertation for Candidate for Science (slightly higher than PhD), Hungarian Acad. of Sci., Budapest, 1991. DL: 22

e-Notes (in Hungarian) (details)

[n02] Pincselés (Pinching)

Szeged, 2010 (soon).

[n01] Lie-csoportok (Lie-groups)

Szeged, 2004 (very much unfinished).

Others (in Hungarian) (details)

[o02] Gehér László (1929-2011) (Necrolog of mathematician László Gehér)

Polygon, 20:2(2012), 1--4.

[o01] Elhunyt Gehér László matematikus (Short necrolog of László Gehér)

Délmagyarország, Június 17 (2011), 12;