Four-vertex theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Four-vertex theorem" in English language version.

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ams.org

mathscinet.ams.org

Pressley, Andrew (2010). Elementary Differential Geometry. Springer Undergraduate Mathematics Series (2nd ed.). London: Springer-Verlag. Definition 2.1.1, p. 30 and Exercise 2.2.6, p. 44. doi:10.1007/978-1-84882-891-9. ISBN 978-1-84882-890-2. MR 2598317.
Graustein, W. C. (1937). "Extensions of the four-vertex theorem". Transactions of the American Mathematical Society. 41 (1): 9–23. doi:10.2307/1989876. JSTOR 1989876. MR 1501889.
Osserman, Robert (1985). "The four-or-more vertex theorem". The American Mathematical Monthly. 92 (5): 332–337. doi:10.2307/2323126. JSTOR 2323126. MR 0790188.
Martinez-Maure, Yves (1996). "A note on the tennis ball theorem". The American Mathematical Monthly. 103 (4): 338–340. doi:10.2307/2975192. JSTOR 2975192. MR 1383672.
Craizer, Marcos; Teixeira, Ralph; Balestro, Vitor (2018). "Closed cycloids in a normed plane". Monatshefte für Mathematik. 185 (1): 43–60. arXiv:1608.01651. doi:10.1007/s00605-017-1030-5. MR 3745700.
Berger, Marcel (2010). "V.8. The four vertex theorem and its converse; an application to physics". Geometry Revealed. Heidelberg: Springer. pp. 271–278. doi:10.1007/978-3-540-70997-8. ISBN 978-3-540-70996-1. MR 2724440.
Gluck, Herman (1971). "The converse to the four-vertex theorem". L'Enseignement mathématique. 17: 295–309. MR 0344998.

ams.org

Dahlberg, Björn (2005). "The converse of the four vertex theorem". Proceedings of the American Mathematical Society. 133 (7): 2131–2135. doi:10.1090/S0002-9939-05-07788-9.
DeTurck, D.; Gluck, H.; Pomerleano, D.; Vick, D.S. (2007). "The four vertex theorem and its converse" (PDF). Notices of the American Mathematical Society. 54 (2): 9268. arXiv:math/0609268.

arxiv.org

Craizer, Marcos; Teixeira, Ralph; Balestro, Vitor (2018). "Closed cycloids in a normed plane". Monatshefte für Mathematik. 185 (1): 43–60. arXiv:1608.01651. doi:10.1007/s00605-017-1030-5. MR 3745700.
DeTurck, D.; Gluck, H.; Pomerleano, D.; Vick, D.S. (2007). "The four vertex theorem and its converse" (PDF). Notices of the American Mathematical Society. 54 (2): 9268. arXiv:math/0609268.
Ghomi, Mohammad (2017). "Boundary torsion and convex caps of locally convex surfaces". Journal of Differential Geometry. 105 (3): 427–486. arXiv:1501.07626. doi:10.4310/jdg/1488503004.

doi.org

Pressley, Andrew (2010). Elementary Differential Geometry. Springer Undergraduate Mathematics Series (2nd ed.). London: Springer-Verlag. Definition 2.1.1, p. 30 and Exercise 2.2.6, p. 44. doi:10.1007/978-1-84882-891-9. ISBN 978-1-84882-890-2. MR 2598317.
Graustein, W. C. (1937). "Extensions of the four-vertex theorem". Transactions of the American Mathematical Society. 41 (1): 9–23. doi:10.2307/1989876. JSTOR 1989876. MR 1501889.
Osserman, Robert (1985). "The four-or-more vertex theorem". The American Mathematical Monthly. 92 (5): 332–337. doi:10.2307/2323126. JSTOR 2323126. MR 0790188.
Jackson, S. B. (1944). "Vertices of plane curves". Bulletin of the American Mathematical Society. 50 (8): 564–578. doi:10.1090/s0002-9904-1944-08190-1.
Martinez-Maure, Yves (1996). "A note on the tennis ball theorem". The American Mathematical Monthly. 103 (4): 338–340. doi:10.2307/2975192. JSTOR 2975192. MR 1383672.
Craizer, Marcos; Teixeira, Ralph; Balestro, Vitor (2018). "Closed cycloids in a normed plane". Monatshefte für Mathematik. 185 (1): 43–60. arXiv:1608.01651. doi:10.1007/s00605-017-1030-5. MR 3745700.
Berger, Marcel (2010). "V.8. The four vertex theorem and its converse; an application to physics". Geometry Revealed. Heidelberg: Springer. pp. 271–278. doi:10.1007/978-3-540-70997-8. ISBN 978-3-540-70996-1. MR 2724440.
Dahlberg, Björn (2005). "The converse of the four vertex theorem". Proceedings of the American Mathematical Society. 133 (7): 2131–2135. doi:10.1090/S0002-9939-05-07788-9.
Sedykh, V.D. (1994). "Four vertices of a convex space curve". Bulletin of the London Mathematical Society. 26 (2): 177–180. doi:10.1112/blms/26.2.177.
Ghomi, Mohammad (2017). "Boundary torsion and convex caps of locally convex surfaces". Journal of Differential Geometry. 105 (3): 427–486. arXiv:1501.07626. doi:10.4310/jdg/1488503004.

jstor.org

Graustein, W. C. (1937). "Extensions of the four-vertex theorem". Transactions of the American Mathematical Society. 41 (1): 9–23. doi:10.2307/1989876. JSTOR 1989876. MR 1501889.
Osserman, Robert (1985). "The four-or-more vertex theorem". The American Mathematical Monthly. 92 (5): 332–337. doi:10.2307/2323126. JSTOR 2323126. MR 0790188.
Martinez-Maure, Yves (1996). "A note on the tennis ball theorem". The American Mathematical Monthly. 103 (4): 338–340. doi:10.2307/2975192. JSTOR 2975192. MR 1383672.

ucla.edu

math.ucla.edu

Pak, Igor (April 20, 2010). "Section 21: The four vertex theorem". Lectures on Discrete and Polyhedral Geometry. pp. 193–206.