@misc{10498/29697, year = {2018}, url = {http://hdl.handle.net/10498/29697}, abstract = {Our goal in this paper is to translate results on function classes that are characterized by the property that all the Karush-Kuhn-Tucker points are e cient solutions, obtained in Euclidean spaces to Riemannian manifolds. We give two new characterizations, one for the scalar case and another for the vectorial case, unknown in this subject literature. We also obtain duality results and give examples to illustrate it.}, organization = {The research in this paper has been partially supported by Ministerio de Economía y Competitividad, Spain, through grant MTM2015-66185-P.}, publisher = {Springer}, keywords = {Optimality}, keywords = {Riemannian manifolds}, title = {Optimality and Duality on Riemannian Manifolds}, doi = {10.11650/tjm/180501}, author = {Ruiz Garzón, Gabriel and Osuna Gómez, Rafaela and Rufián Lizana, Antonio and Hernández Jiménez, Beatriz}, }