Willmore Surfaces of R 4 and the Whitney Sphere ?
نویسنده
چکیده
We make a contribution to the study of Willmore surfaces in four-dimensional Euclidean space R4 by making use of the identification of R4 with two-dimensional complex Euclidean space C2. We prove that the Whitney sphere is the only Willmore Lagrangian surface of genus zero in R4 and establish some existence and uniqueness results about Willmore Lagrangian tori in R4 ≡ C2. Mathematics Subject Classifications (2000): 53C40, 53C42.
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تاریخ انتشار 1999