Conjetura de Carathéodory (Spanish Wikipedia)

Analysis of information sources in references of the Wikipedia article "Conjetura de Carathéodory" in Spanish language version.

refsWebsite

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12doi.org

2^nd place

10semanticscholar.org

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7arxiv.org

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3issn.org

57^th place

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1ams.org

451^st place

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1uni-goettingen.de

2,594^th place

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1gatech.edu

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ams.org

Struik, D. J. (1931). «Differential Geometry in the large». Bull. Amer. Math. Soc. 37 (2): 49-62. doi:10.1090/S0002-9904-1931-05094-1.

arxiv.org

Guilfoyle, B.; Klingenberg, W. (2008). Proof of the Carathéodory conjecture. arXiv:0808.0851.
Guilfoyle, B.; Klingenberg, W. (2005). «An indefinite Kähler metric on the space of oriented lines». J. London Math. Soc. 72 (2): 497-509. S2CID 14978450. arXiv:math/0407490. doi:10.1112/S0024610705006605.
Guilfoyle, B.; Klingenberg, W. (2020). «Fredholm-regularity of holomorphic discs in plane bundles over compact surfaces». Ann. Fac. Sci. Toulouse Math. Série 6 29 (3): 565-576. S2CID 119659239. arXiv:1812.00707. doi:10.5802/afst.1639.
Guilfoyle, B. (2020). «On Isolated Umbilic Points». Comm. Anal. Geom. 28 (8): 2005-2018. S2CID 119158738. arXiv:1812.03562. doi:10.4310/CAG.2020.v28.n8.a8.
Guilfoyle, B.; Klingenberg, W. (2012). From Global to Local: an index bound for umbilic points on smooth convex surfaces. arXiv:1207.5994.
Guilfoyle, B.; Klingenberg, W. (2020). Proof of the Toponogov Conjecture on complete surfaces. arXiv:2002.12787.
Ghomi, M.; Howard, R. (2012). «Normal curvatures of asymptotically constant graphs and Carathéodory's conjecture». Proc. Amer. Math. Soc. 140 (12): 4323-4335. S2CID 12148752. arXiv:1101.3031. doi:10.1090/S0002-9939-2012-11420-0.

doi.org

dx.doi.org

Struik, D. J. (1931). «Differential Geometry in the large». Bull. Amer. Math. Soc. 37 (2): 49-62. doi:10.1090/S0002-9904-1931-05094-1.
Bol, G. (1944). «Über Nabelpunkte auf einer Eifläche». Math. Z. 49: 389-410. S2CID 120816230. doi:10.1007/bf01174209.
Klotz, Tilla (1959). «On G. Bol's proof of Carathéodory's conjecture». Commun. Pure Appl. Math. 12 (2): 277-311. doi:10.1002/cpa.3160120207.
Hamburger, H. (1924). «Über Kurvennetze mit isolierten Singularitäten auf geschossenen Flächen». Math. Z. 19: 50-66. S2CID 121237690. doi:10.1007/bf01181063.
Titus, C. J. (1973). «A proof of a conjecture of Loewner and of the conjecture of Carathéodory on umbilic points». Acta Math. 131 (1–2): 43-77. S2CID 119377800. doi:10.1007/BF02392036.
Ivanov, V. V. (2002). «The Analytic Carathéodory Conjecture». Sib. Math. J. 43 (2): 251-322. ISSN 0037-4474. S2CID 117115329. doi:10.1023/A:1014797105633.
Guilfoyle, B.; Klingenberg, W. (2005). «An indefinite Kähler metric on the space of oriented lines». J. London Math. Soc. 72 (2): 497-509. S2CID 14978450. arXiv:math/0407490. doi:10.1112/S0024610705006605.
Guilfoyle, B.; Klingenberg, W. (2004). «Generalised surfaces in $R^{3}$ ». Math. Proc. R. Ir. Acad. 104A (2): 199-209. S2CID 118128548. doi:10.1353/mpr.2004.0013.
Guilfoyle, B.; Klingenberg, W. (2020). «Fredholm-regularity of holomorphic discs in plane bundles over compact surfaces». Ann. Fac. Sci. Toulouse Math. Série 6 29 (3): 565-576. S2CID 119659239. arXiv:1812.00707. doi:10.5802/afst.1639.
Guilfoyle, B. (2020). «On Isolated Umbilic Points». Comm. Anal. Geom. 28 (8): 2005-2018. S2CID 119158738. arXiv:1812.03562. doi:10.4310/CAG.2020.v28.n8.a8.
Guilfoyle, B.; Klingenberg, W. (2019). «Higher codimensional mean curvature flow of compact spacelike submanifolds». Trans. Amer. Math. Soc. 372 (9): 6263-6281. S2CID 119253397. doi:10.1090/tran/7766.
Ghomi, M.; Howard, R. (2012). «Normal curvatures of asymptotically constant graphs and Carathéodory's conjecture». Proc. Amer. Math. Soc. 140 (12): 4323-4335. S2CID 12148752. arXiv:1101.3031. doi:10.1090/S0002-9939-2012-11420-0.

gatech.edu

people.math.gatech.edu

Ghomi, M. (2017). Open problems in geometry of curves and surfaces.

issn.org

portal.issn.org

Sotomayor, J.; Mello, L. F. (1999). «A note on some developments on Carathéodory conjecture on umbilic points». Exposition Math. 17 (1): 49-58. ISSN 0723-0869.
Gutierrez, C.; Sotomayor, J. (1998). «Lines of curvature, umbilic points and Carathéodory conjecture». Resen. Inst. Mat. Estat. Univ. São Paulo 3 (3): 291-322. ISSN 0104-3854.
Ivanov, V. V. (2002). «The Analytic Carathéodory Conjecture». Sib. Math. J. 43 (2): 251-322. ISSN 0037-4474. S2CID 117115329. doi:10.1023/A:1014797105633.

semanticscholar.org

api.semanticscholar.org

Bol, G. (1944). «Über Nabelpunkte auf einer Eifläche». Math. Z. 49: 389-410. S2CID 120816230. doi:10.1007/bf01174209.
Hamburger, H. (1924). «Über Kurvennetze mit isolierten Singularitäten auf geschossenen Flächen». Math. Z. 19: 50-66. S2CID 121237690. doi:10.1007/bf01181063.
Titus, C. J. (1973). «A proof of a conjecture of Loewner and of the conjecture of Carathéodory on umbilic points». Acta Math. 131 (1–2): 43-77. S2CID 119377800. doi:10.1007/BF02392036.
Ivanov, V. V. (2002). «The Analytic Carathéodory Conjecture». Sib. Math. J. 43 (2): 251-322. ISSN 0037-4474. S2CID 117115329. doi:10.1023/A:1014797105633.
Guilfoyle, B.; Klingenberg, W. (2005). «An indefinite Kähler metric on the space of oriented lines». J. London Math. Soc. 72 (2): 497-509. S2CID 14978450. arXiv:math/0407490. doi:10.1112/S0024610705006605.
Guilfoyle, B.; Klingenberg, W. (2004). «Generalised surfaces in $R^{3}$ ». Math. Proc. R. Ir. Acad. 104A (2): 199-209. S2CID 118128548. doi:10.1353/mpr.2004.0013.
Guilfoyle, B.; Klingenberg, W. (2020). «Fredholm-regularity of holomorphic discs in plane bundles over compact surfaces». Ann. Fac. Sci. Toulouse Math. Série 6 29 (3): 565-576. S2CID 119659239. arXiv:1812.00707. doi:10.5802/afst.1639.
Guilfoyle, B. (2020). «On Isolated Umbilic Points». Comm. Anal. Geom. 28 (8): 2005-2018. S2CID 119158738. arXiv:1812.03562. doi:10.4310/CAG.2020.v28.n8.a8.
Guilfoyle, B.; Klingenberg, W. (2019). «Higher codimensional mean curvature flow of compact spacelike submanifolds». Trans. Amer. Math. Soc. 372 (9): 6263-6281. S2CID 119253397. doi:10.1090/tran/7766.
Ghomi, M.; Howard, R. (2012). «Normal curvatures of asymptotically constant graphs and Carathéodory's conjecture». Proc. Amer. Math. Soc. 140 (12): 4323-4335. S2CID 12148752. arXiv:1101.3031. doi:10.1090/S0002-9939-2012-11420-0.

uni-goettingen.de

gdz.sub.uni-goettingen.de

Bol, G. (1944). «Über Nabelpunkte auf einer Eifläche». Math. Z. 49: 389-410. S2CID 120816230. doi:10.1007/bf01174209.