Constrained metric variations and emergent equilibrium surfaces

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 377, Issue 23-24, 2013, Pages 1507-1511

  Guven, Jemal ^a   Vázquez Montejo, Pablo ^b  

^a INSTITUTO DE CIENCIAS NUCLEARES   (Mexico)

^b DEPARTAMENTO DE PROCESOS Y TECNOLOGÍA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); TENSORS;

METRIC VARIATION; MINIMAL SURFACES; SURFACE INSTABILITY; SYMMETRIC TENSORS;

LAGRANGE MULTIPLIERS;

EID: 84877582051     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2013.04.031     Document Type: Article

References (29)

1. D. Nelson, T. Piran, and S. Weinberg Statistical Mechanics of Membranes and Surfaces, vol. 5 (Proceedings of the Jerusalem Winter School for Theoretical Physics) 1989 World Scientific Singapore
2. S. Hildebrandt, and A. Tromba The Parsimonious Universe: Shape and Form in the Natural World first edition 1996 Springer
3. R. Osserman A Survey of Minimal Surfaces 1986 Dover Publications
4. A.M. Polyakov Gauge Fields and Strings 1987 Harwood Academic New York
5. M.B. Green, J.H. Schwarz, and E. Witten Superstring Theory, vol. 1 1987 Cambridge University Press
6. A. Vilenkin, and P. Shellard Cosmic Strings and Other Topological Defects Cambridge Monographs on Mathematical Physics 1994
7. M. Spivak A Comprehensive Introduction to Differential Geometry, vol. 4 second edition 1979 Publish or Perish
8. M. Do Carmo Differential Geometry of Curves and Surfaces 1976 Prentice Hall
9. Y. Aminov The Geometry of Submanifolds first edition 2001 CRC Press
10. M. Dajczer Submanifolds and Isometric Embeddings Mathematics Lecture Series 1990
11. J. Eells, and J.H. Sampson Am. J. Math. 86 1964 109
12. J. Guven J. Phys. A: Math. Gen. 37 2004 L313
13. J. Barbour, B. Foster, and N. Murchadha Class. Quant. Grav. 19 2002 3217
14. R. Sorkin Mod. Phys. Lett. A 17 2002 695
15. M.A. Lomholt, and L. Miao J. Phys. A: Math. Gen. 39 2006 10323
16. J. Guven, and M.M. Müller J. Phys. A: Math. Theor. 41 2008 055203
17. C.W. Misner, K.S. Thorne, and J.A. Wheeler Gravitation first edition Physics Series 1973 W.H. Freeman
18. S.M. Carroll Spacetime and Geometry: An Introduction to General Relativity 2003 Addison-Wesley
19. R. Capovilla, and J. Guven Phys. Rev. D 51 12 1995 6736
20. R. Capovilla, and J. Guven J. Phys. A: Math. Gen. 35 2002 6233
21. R. Arnowitt, S. Deser, and C.W. Misner Phys. Rev. 116 1959 1322
22. M. Alcubierre Introduction to 3 + 1 Numerical Relativity International Series of Monographs on Physics 2008 Oxford University Press
23. T.J. Willmore Total Curvature in Riemannian Geometry 1982 Ellis Horwood Chichester
24. P. Canham J. Theor. Biol. 26 61 1970
25. W. Helfrich Z. Naturforsch. C 28 1973 693
26. For a review see U. Seifert Adv. in Phys. 46 13 1997
27. J. Guven, D.M. Valencia, P. Vázquez-Montejo, in preparation.
28. A.T. Fomenko, and A.A. Tuzhilin Elements of the Geometry and Topology of Minimal Surfaces in Three-Dimensional Space Translations of Mathematical Monographs vol. 93 2005 American Mathematical Society
29. M.A. Dias, J.A. Hanna, and C.D. Santangelo Phys. Rev. E 84 2011 036603