A Weierstrass-Kenmotsu formula for prescribed mean curvature surfaces in hyperbolic space
Séminaire de théorie spectrale et géométrie, Volume 19 (2000-2001), pp. 9-23. 
@article{TSG_2000-2001__19__9_0,
     author = {Ricardo Sa Earp and Eric Toubiana},
     title = {A {Weierstrass-Kenmotsu} formula for prescribed mean curvature surfaces in hyperbolic space},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     pages = {9--23},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {19},
     year = {2000-2001},
     doi = {10.5802/tsg.315},
     zbl = {1014.53006},
     mrnumber = {1909073},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.315/}
}
TY  - JOUR
AU  - Ricardo Sa Earp
AU  - Eric Toubiana
TI  - A Weierstrass-Kenmotsu formula for prescribed mean curvature surfaces in hyperbolic space
JO  - Séminaire de théorie spectrale et géométrie
PY  - 2000-2001
SP  - 9
EP  - 23
VL  - 19
PB  - Institut Fourier
PP  - Grenoble
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.315/
DO  - 10.5802/tsg.315
LA  - en
ID  - TSG_2000-2001__19__9_0
ER  - 
%0 Journal Article
%A Ricardo Sa Earp
%A Eric Toubiana
%T A Weierstrass-Kenmotsu formula for prescribed mean curvature surfaces in hyperbolic space
%J Séminaire de théorie spectrale et géométrie
%D 2000-2001
%P 9-23
%V 19
%I Institut Fourier
%C Grenoble
%U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.315/
%R 10.5802/tsg.315
%G en
%F TSG_2000-2001__19__9_0
Ricardo Sa Earp; Eric Toubiana. A Weierstrass-Kenmotsu formula for prescribed mean curvature surfaces in hyperbolic space. Séminaire de théorie spectrale et géométrie, Volume 19 (2000-2001), pp. 9-23. doi : 10.5802/tsg.315. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.315/

[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). | MR | Zbl

[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). | MR | Zbl

[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). | Numdam | Zbl

[4] R. Bryant. Surfaces of mean curvature one in hyperbolic space; Asterisque 154-155, Soc. Math de France, 321-347 ( 1987). | MR | Zbl

[5] K. Kenmotsu. Weierstrass formula for surfaces of prescribed mean curvature; Math. Ann. 245, 89-99 ( 1979). | MR | Zbl

[6] M. Kokubu. Weierstrass representation for minimal surfaces in hyperbolic space; Tohoku Math. J. (2) 49, no. 3, 367-377 ( 1997). | MR | Zbl

[7] B. Nelli. Hypersurfaces de courbure constante dans l'espace hyperbolique. Thèse de Doctorat, Université Paris VII ( 1995).

[8] Revue du Palais de la Découverte, Numéro 45, page 106 ( 1995).

[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). | MR | Zbl

[10] R. Sa Earp and E. Toubiana. Meromorphic data for mean curvature one surfaces in hyperbolic space. Preprint.

Cited by Sources: