We prove the existence of many constant mean curvature surfaces of revolution with two ends which are immersed or embedded in hyperbolic space. We also study their stability.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm126-2-9, author = {Mohamed Jleli}, title = {Stability results for rotationally invariant constant mean curvature surfaces in hyperbolic space}, journal = {Colloquium Mathematicae}, volume = {126}, year = {2012}, pages = {269-280}, zbl = {1250.53055}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm126-2-9} }
Mohamed Jleli. Stability results for rotationally invariant constant mean curvature surfaces in hyperbolic space. Colloquium Mathematicae, Tome 126 (2012) pp. 269-280. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm126-2-9/