Ends of Negatively Curved Surfaces in Euclidean Space
نویسندگان
چکیده
We examine the geometry of a complete, negatively curved surface isometrically embedded in R3. We are especially interested in the behavior of the ends of the surface and its limit set at infinity. Various constructions are developed, and a classification theorem is obtained, showing that every possible end type for a topologically finite surface with at least one bowl end arises, as well as all infinite type surfaces with a single nonannular end. Some other examples are given with oddly behaved bowl ends.
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