Hilbert's fourth problem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Hilbert's fourth problem" in English language version.

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Papadopoulos, Athanase (2014). "Hilbert's fourth problem". In Papadopoulos, Athanase; Troyanov, Marc (eds.). Handbook of Hilbert geometry. IRMA Lectures in Mathematics and Theoretical Physics. Vol. 22. European Mathematical Society. pp. 391–431. doi:10.4171/147-1/15. ISBN 978-3-03719-147-7.

arxiv.org

Álvarez Paiva, J. C.; Barbosa Gomes, J. (2018). "Periodic Solutions of Hilbert fourth problem". Journal of Topology and Analysis. arXiv:1809.02783. doi:10.1142/S1793525321500576. S2CID 240026741.

doi.org

Hamel, Georg (1903). "Uber die Geometrien in denen die Geraden die Kürzesten sind". Mathematische Annalen. 57 (2): 221–264. doi:10.1007/BF01444348.
Hilbert, David, "Mathematische Probleme" Göttinger Nachrichten, (1900), pp. 253–297, and in Archiv der Mathematik und Physik, (3) 1 (1901), 44–63 and 213–237. Published in English translation by Dr. Maby Winton Newson, Hilbert, David (1902). "Mathematical Problems". Bulletin of the American Mathematical Society. 8 (10): 437–479. doi:10.1090/S0002-9904-1902-00923-3.. [A fuller title of the journal Göttinger Nachrichten is Nachrichten von der Königl. Gesellschaft der Wiss. zu Göttingen.]
Beltrami, Eugenio (1865). "Risoluzione del Problema: Riportare i punti di una superficie sobra un piano in modo che le linee geodetiche Vengano rappresentate da linee rette". Annali di Matematica Pura ed Applicata. 7: 185–204. doi:10.1007/BF03198517. S2CID 123192933.
Hilbert, David (1895). "Uber die gerade Linie als kürzeste Verbindung zweier Punkte". Mathematische Annalen. 46: 91–96. doi:10.1007/BF02096204.
Busemann, Herbert (1981). "Review of: A. V. Pogorelov, Hilbert's fourth problem". Bulletin of the American Mathematical Society. New Series. 4 (1): 87–90. doi:10.1090/S0273-0979-1981-14867-9.
Szabó, Z. I. (1986). "Hilbert's fourth problem I". Advances in Mathematics. 59 (3): 185–301. doi:10.1016/0001-8708(86)90056-3.
Alexander, Ralph (1988). "Zonoid theory and Hilbert fourth problem". Geometriae Dedicata. 28 (2): 199–211. doi:10.1007/BF00147451. S2CID 119391326.
Álvarez Paiva, J. C. (2005). "Sympletic geometry and Hilbert fourth problem". Journal of Differential Geometry. 69 (2): 353–378. doi:10.4310/jdg/1121449109.
Álvarez Paiva, J. C.; Barbosa Gomes, J. (2018). "Periodic Solutions of Hilbert fourth problem". Journal of Topology and Analysis. arXiv:1809.02783. doi:10.1142/S1793525321500576. S2CID 240026741.
Papadopoulos, Athanase (2014). "Hilbert's fourth problem". In Papadopoulos, Athanase; Troyanov, Marc (eds.). Handbook of Hilbert geometry. IRMA Lectures in Mathematics and Theoretical Physics. Vol. 22. European Mathematical Society. pp. 391–431. doi:10.4171/147-1/15. ISBN 978-3-03719-147-7.

projecteuclid.org

Busemann, Herbert (1981). "Review of: A. V. Pogorelov, Hilbert's fourth problem". Bulletin of the American Mathematical Society. New Series. 4 (1): 87–90. doi:10.1090/S0273-0979-1981-14867-9.

semanticscholar.org

api.semanticscholar.org

Beltrami, Eugenio (1865). "Risoluzione del Problema: Riportare i punti di una superficie sobra un piano in modo che le linee geodetiche Vengano rappresentate da linee rette". Annali di Matematica Pura ed Applicata. 7: 185–204. doi:10.1007/BF03198517. S2CID 123192933.
Alexander, Ralph (1988). "Zonoid theory and Hilbert fourth problem". Geometriae Dedicata. 28 (2): 199–211. doi:10.1007/BF00147451. S2CID 119391326.
Álvarez Paiva, J. C.; Barbosa Gomes, J. (2018). "Periodic Solutions of Hilbert fourth problem". Journal of Topology and Analysis. arXiv:1809.02783. doi:10.1142/S1793525321500576. S2CID 240026741.

zenodo.org

Beltrami, Eugenio (1865). "Risoluzione del Problema: Riportare i punti di una superficie sobra un piano in modo che le linee geodetiche Vengano rappresentate da linee rette". Annali di Matematica Pura ed Applicata. 7: 185–204. doi:10.1007/BF03198517. S2CID 123192933.