A Weierstrass-Kenmotsu formula for prescribed mean curvature surfaces in hyperbolic space

Ricardo Sa Earp; Eric Toubiana

Séminaire de théorie spectrale et géométrie (2000-2001)

  • Volume: 19, page 9-23
  • ISSN: 1624-5458

How to cite

top

Sa Earp, Ricardo, and Toubiana, Eric. "A Weierstrass-Kenmotsu formula for prescribed mean curvature surfaces in hyperbolic space." Séminaire de théorie spectrale et géométrie 19 (2000-2001): 9-23. <http://eudml.org/doc/114462>.

@article{SaEarp2000-2001,
author = {Sa Earp, Ricardo, Toubiana, Eric},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Weierstrass-Kenmotsu type formula; mean curvature; hyperbolic space; meromorphic data},
language = {eng},
pages = {9-23},
publisher = {Institut Fourier},
title = {A Weierstrass-Kenmotsu formula for prescribed mean curvature surfaces in hyperbolic space},
url = {http://eudml.org/doc/114462},
volume = {19},
year = {2000-2001},
}

TY - JOUR
AU - Sa Earp, Ricardo
AU - Toubiana, Eric
TI - A Weierstrass-Kenmotsu formula for prescribed mean curvature surfaces in hyperbolic space
JO - Séminaire de théorie spectrale et géométrie
PY - 2000-2001
PB - Institut Fourier
VL - 19
SP - 9
EP - 23
LA - eng
KW - Weierstrass-Kenmotsu type formula; mean curvature; hyperbolic space; meromorphic data
UR - http://eudml.org/doc/114462
ER -

References

top
  1. [1] R. Aiyama and K. Akutagawa. Kenmotsu type representation formula for surfaces with prescribed mean curvature in the hyperbolic 3-space; ]. Math. Soc. Japan, 52, no. 4, 877-898 ( 2000). Zbl0995.53047MR1774634
  2. [2] R. Aiyama and K. Akutagawa. Kenmotsu type representation formula for surfaces with prescribed mean curvature in the3-sphere; Tohoku Math. J. 52, 95-105 ( 2000). Zbl1008.53012MR1740545
  3. [3] J.L. Barbosa and R. Sa Earp. Prescribed mean curvature hypersurfaces in Hn+l with convex planar boundary, II In: Séminaire de théorie spectrale et géometrie de Grenoble, Volume 16, 43-79 ( 1998). Zbl0942.53044
  4. [4] R. Bryant. Surfaces of mean curvature one in hyperbolic space; Asterisque 154-155, Soc. Math de France, 321-347 ( 1987). Zbl0635.53047MR955072
  5. [5] K. Kenmotsu. Weierstrass formula for surfaces of prescribed mean curvature; Math. Ann. 245, 89-99 ( 1979). Zbl0402.53002MR552581
  6. [6] M. Kokubu. Weierstrass representation for minimal surfaces in hyperbolic space; Tohoku Math. J. (2) 49, no. 3, 367-377 ( 1997). Zbl0912.53041MR1464184
  7. [7] B. Nelli. Hypersurfaces de courbure constante dans l'espace hyperbolique. Thèse de Doctorat, Université Paris VII ( 1995). 
  8. [8] Revue du Palais de la Découverte, Numéro 45, page 106 ( 1995). 
  9. [9] R. Sa Earp and E. Toubiana. On the geometry of constant mean curvature one surfaces in hyperbolic space; Illinois Journal of Mathematics 45, No 1 ( 2001). Zbl0997.53042MR1878610
  10. [10] R. Sa Earp and E. Toubiana. Meromorphic data for mean curvature one surfaces in hyperbolic space. Preprint. Zbl1063.53010

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.