New solutions of the shape equation

European Physical Journal B

Volumn 29, Issue 2, 2002, Pages 327-330

  Mladenov, I M ^a  

^a INSTITUTE OF BIOPHYSICS AND BIOMEDICAL ENGINEERING   (Bulgaria)

Author keywords

02.40.Hw classical differential geometry; 68.15.+e liquid thin films; 87.10.+e general theory and mathematical aspects; 87.16.Dg membranes, bilayers, and vesicles

Indexed keywords

EID: 0041304712     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2002-00310-y     Document Type: Article

References (15)

1. R. Bar-Ziv, E. Moses, Phys. Rev. Lett. 73, 1392 (1994)
2. M. Berger, B. Gostiaux, Differential Geometry: Manifolds, Curves and Surfaces (Springer, New York, 1988)
3. P. Canham, J. Theor. Biol. 26, 61 (1970)
4. C. Delaunay, J. Math. Pures Appl. 6, 309 (1841)
5. W. Helfrich, Z. Naturforsch. C 28, 693 (1973)
6. E. Jahnke, F. Emde, F. Lösch, Tafeln Höherer Funktionen (Teubner Verlag, Stuttgart, 1960)
7. H. Naito M., Okuda, Z. Ou-Yang, Phys. Rev. E 48, 2304 (1993)
8. H. Naito, M. Okuda, Z. Ou-Yang, Phys. Rev. Lett. 74, 4345 (1995)
9. Oprea J., Differential Geometry and Its Applications (Prentice Hall, New Jersey, 1997)
10. Z. Ou-Yang, W. Helfrich, Phys. Rev. A 39, 5280 (1989)
11. Z. Ou-Yang, Phys. Rev. A 41, 4517 (1990)
12. Z. Ou-Yang, Phys. Rev. E 47, 747 (1993)
13. Z. Ou-Yang, J. Liu, Y. Xie, Geometric Methods in The Elastic Theory of Membranes in Liquid Crystal Phases (World Scientific, Singapore, 1999)
14. U. Pinkall, I. Sterling, Intelligencer 9, 38 (1987)
15. W. Zheng, J. Liu, Phys. Rev. E 48, 2856 (1993)