@article{oai:ynu.repo.nii.ac.jp:00007012,
 author = {Tanaka, Ayako},
 issue = {2},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, The purpose of this paper is to study the existence of a surface in the n- dimensional Euclidean unit sphere S^{n} with prescribed Gauss map. For a given 0 infty-mapping G from a torus T^{2} into the complex quadric Q_{n-1} , we show that there exists a conformal immersion X :  hat{T}^{2} rightarrow S^{n} such that the Gauss map of the surface   S=(T^{2}, S^{n}, X) is  Go pi where  pi :  hat{T}^{2} rightarrow T^{2} is a covering map. Let G be a  c infty-mapping from a nnected Riemann surface M into Q_{n-1} . Under a certain condition for G we also show that there exists a surface defined by a  o infty-conformal immersion X from M to the n-dimensional real projective space RP^{n} with the property that a neighborhood of each point of X(M) is covered by a surface in S^{n} with prescribed Gauss map G . By using this result we give a characterization of certain tori immersed in RP^{n} .},
 pages = {151--173},
 title = {AN EXISTENCE THEOREM FOR A SURFACE IN S^{n} WITH A GIVEN MAP AS ITS GAUSS MAP},
 volume = {52},
 year = {2006}
}