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WEIERSTRASS REPRESENTATION FOR MINIMAL IMMERSIONS INTO DAMEK-RICCI SPACES

Year 2013, Volume: 6 Issue: 1, 1 - 7, 30.04.2013

M. Koıvoguı L. Todjıhounde

Abstract


Keywords

Weierstrass representation minimal surfaces Damek-Ricci space

References

  • [1] Barbosa, J.L.M, Colares, A.G. Minimal surfaces in R3, Lecture notes in Mathematics,1195, Springer-Verlag, berlin, 1986.
  • [2] Berdinski, D. A. and Taimanov, I. A., Surfaces in three dimensinal Lie groups, Sibirsk. Mat. Zh., 46(2005), No 6, , 1005-1019.
  • [3] Berndt J., Tricerri, F. and Vanhecke , L., Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces, Springer-Verlag Berlin Heidelberg 1995.
  • [4] Kokubu, M., Weierstrass representation for minimal surfaces in hyperbolic spaces, Tohoku Math. J. 49(1997), 367-377.
  • [5] Mercuri, F., Montaldo, S. and Piu, P., A Weierstrass representation formula for minimal surfaces H3 and H2 × R, Acta Mathematica Sinica, English series Nov. 2006, vol. 22, No 6, pp. 1603-1612.
  • [6] Nelson, D., Piran, T. and Weinberg, S., Statiscal mechanics of membranes and surfaces, World Scientific, Singapore, 1989.
  • [7] Ossermann, R., A survey of minimal surfaces, Van Nostrand, 1969.
  • [8] Turhan, E. and Ko¨rpinar, T., The Weierstrass representation for minimal immersions in the lie group H3 × S1, J. Adv. Maths. Studies Vol. 3 (2010), No. 1, 117-124.

Year 2013, Volume: 6 Issue: 1, 1 - 7, 30.04.2013

M. Koıvoguı L. Todjıhounde

Abstract

References

  • [1] Barbosa, J.L.M, Colares, A.G. Minimal surfaces in R3, Lecture notes in Mathematics,1195, Springer-Verlag, berlin, 1986.
  • [2] Berdinski, D. A. and Taimanov, I. A., Surfaces in three dimensinal Lie groups, Sibirsk. Mat. Zh., 46(2005), No 6, , 1005-1019.
  • [3] Berndt J., Tricerri, F. and Vanhecke , L., Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces, Springer-Verlag Berlin Heidelberg 1995.
  • [4] Kokubu, M., Weierstrass representation for minimal surfaces in hyperbolic spaces, Tohoku Math. J. 49(1997), 367-377.
  • [5] Mercuri, F., Montaldo, S. and Piu, P., A Weierstrass representation formula for minimal surfaces H3 and H2 × R, Acta Mathematica Sinica, English series Nov. 2006, vol. 22, No 6, pp. 1603-1612.
  • [6] Nelson, D., Piran, T. and Weinberg, S., Statiscal mechanics of membranes and surfaces, World Scientific, Singapore, 1989.
  • [7] Ossermann, R., A survey of minimal surfaces, Van Nostrand, 1969.
  • [8] Turhan, E. and Ko¨rpinar, T., The Weierstrass representation for minimal immersions in the lie group H3 × S1, J. Adv. Maths. Studies Vol. 3 (2010), No. 1, 117-124.
There are 8 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

M. Koıvoguı This is me

L. Todjıhounde

Publication Date April 30, 2013
Published in Issue Year 2013 Volume: 6 Issue: 1

Cite

APA Koıvoguı, M., & Todjıhounde, L. (2013). WEIERSTRASS REPRESENTATION FOR MINIMAL IMMERSIONS INTO DAMEK-RICCI SPACES. International Electronic Journal of Geometry, 6(1), 1-7.
AMA Koıvoguı M, Todjıhounde L. WEIERSTRASS REPRESENTATION FOR MINIMAL IMMERSIONS INTO DAMEK-RICCI SPACES. Int. Electron. J. Geom. April 2013;6(1):1-7.
Chicago Koıvoguı, M., and L. Todjıhounde. “WEIERSTRASS REPRESENTATION FOR MINIMAL IMMERSIONS INTO DAMEK-RICCI SPACES”. International Electronic Journal of Geometry 6, no. 1 (April 2013): 1-7.
EndNote Koıvoguı M, Todjıhounde L (April 1, 2013) WEIERSTRASS REPRESENTATION FOR MINIMAL IMMERSIONS INTO DAMEK-RICCI SPACES. International Electronic Journal of Geometry 6 1 1–7.
IEEE M. Koıvoguı and L. Todjıhounde, “WEIERSTRASS REPRESENTATION FOR MINIMAL IMMERSIONS INTO DAMEK-RICCI SPACES”, Int. Electron. J. Geom., vol. 6, no. 1, pp. 1–7, 2013.
ISNAD Koıvoguı, M. - Todjıhounde, L. “WEIERSTRASS REPRESENTATION FOR MINIMAL IMMERSIONS INTO DAMEK-RICCI SPACES”. International Electronic Journal of Geometry 6/1 (April 2013), 1-7.
JAMA Koıvoguı M, Todjıhounde L. WEIERSTRASS REPRESENTATION FOR MINIMAL IMMERSIONS INTO DAMEK-RICCI SPACES. Int. Electron. J. Geom. 2013;6:1–7.
MLA Koıvoguı, M. and L. Todjıhounde. “WEIERSTRASS REPRESENTATION FOR MINIMAL IMMERSIONS INTO DAMEK-RICCI SPACES”. International Electronic Journal of Geometry, vol. 6, no. 1, 2013, pp. 1-7.
Vancouver Koıvoguı M, Todjıhounde L. WEIERSTRASS REPRESENTATION FOR MINIMAL IMMERSIONS INTO DAMEK-RICCI SPACES. Int. Electron. J. Geom. 2013;6(1):1-7.