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Volumn 108, Issue 1, 2017, Pages 25-32

Existence of global Chebyshev nets on surfaces of absolute Gaussian curvature less than 2 π

Author keywords

Chebyshev nets; curvature bounds

Indexed keywords


EID: 84975698672     PISSN: 00472468     EISSN: 14208997     Source Type: Journal    
DOI: 10.1007/s00022-016-0319-1     Document Type: Article
Times cited : (13)

References (10)
  • 1
    • 85016910070 scopus 로고
    • Bakelman, I.Y.: Chebyshev nets in manifolds of bounded curvature. 76, 124–129 [English transl. Proc. Steklov. Inst. Math. 76, 154–160 (1967)]
    • Bakelman, I.Y.: Chebyshev nets in manifolds of bounded curvature. Trudy Math. Inst. Steklov. 76, 124–129 (1965). [English transl. Proc. Steklov. Inst. Math. 76, 154–160 (1967)]
    • (1965) Trudy Math. Inst. Steklov
  • 2
    • 85016905295 scopus 로고    scopus 로고
    • Bianchi, L.: Lezione di geometria differenziale, vols. 1, 2,Pisa (1902–1903)
    • Bianchi, L.: Lezione di geometria differenziale, vols. 1, 2, 2nd edn. Spoerri, Pisa (1902–1903)
    • 2nd edn. Spoerri
  • 3
    • 0141792323 scopus 로고    scopus 로고
    • Bi-lipschitz parameterization of surfaces
    • Bonk M., Lang U.: Bi-lipschitz parameterization of surfaces. Mathe. Ann. 327(1), 135–169 (2003)
    • (2003) Mathe. Ann , vol.327 , Issue.1 , pp. 135-169
    • Bonk, M.1    Lang, U.2
  • 4
    • 85016904572 scopus 로고    scopus 로고
    • Burago, Y.D., Ivanov, S.V., Malev, S.G.: Remarks on Chebyshev coordinates. Zap. Nauchn. Sem. S.-Peterburg. (POMI) 329(5–13), 195 (Geom. i Topol. 9)
    • Burago, Y.D., Ivanov, S.V., Malev, S.G.: Remarks on Chebyshev coordinates. Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 329(5–13), 195 (2005). (Geom. i Topol. 9)
    • (2005) Otdel. Mat. Inst. Steklov
  • 7
    • 84899451972 scopus 로고    scopus 로고
    • Sur la coupe des vêtements: variation autour d’un thème de Tchebychev
    • Ghys É.: Sur la coupe des vêtements: variation autour d’un thème de Tchebychev. Enseign. Math. (2) 57(1–2), 165–208 (2011)
    • (2011) Enseign. Math , vol.57 , Issue.1-2 , pp. 165-208
    • Ghys, É.1
  • 8
    • 84941525389 scopus 로고
    • Ueber einige Eigenschaften der Flächen mit constantem Krümmungsmaass
    • Hazzidakis J.N.: Ueber einige Eigenschaften der Flächen mit constantem Krümmungsmaass. J. Reine Angew. Math. 88, 68–73 (1880)
    • (1880) J. Reine Angew. Math , vol.88 , pp. 68-73
    • Hazzidakis, J.N.1
  • 9
    • 33845760414 scopus 로고
    • On the existence of global Tchebychev nets
    • Samelson S.L., Dayawansa W.P.: On the existence of global Tchebychev nets. Trans. Am. Math. Soc. 347(2), 651–660 (1995)
    • (1995) Trans. Am. Math. Soc , vol.347 , Issue.2 , pp. 651-660
    • Samelson, S.L.1    Dayawansa, W.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.