Existence of global Chebyshev nets on surfaces of absolute Gaussian curvature less than $${{2\pi}}$$ 2 π-Reference-Cited by-同舟云学术

Existence of global Chebyshev nets on surfaces of absolute Gaussian curvature less than $${{2\pi}}$$ 2 π

Published:2016-02-26 Issue:1 Volume:108 Page:25-32
ISSN:0047-2468
Container-title:Journal of Geometry
language:en
Short-container-title:J. Geom.

Author:

Masson Yannick,Monasse Laurent

Funder

Agence Nationale de la Recherche

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

http://link.springer.com/content/pdf/10.1007/s00022-016-0319-1.pdf

Reference10 articles.

1. 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)]

2. Bianchi, L.: Lezione di geometria differenziale, vols. 1, 2, 2nd edn. Spoerri, Pisa (1902–1903)

3. Bonk M., Lang U.: Bi-lipschitz parameterization of surfaces. Mathe. Ann. 327(1), 135–169 (2003)

4. 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)

5. Douthe, C., Baverel, O., Caron, J-F.: Form-finding of a grid shell in composite materials. J. Int. Assoc. Shell Spat. Struct. 150 (53–62) (2006)

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