The Topology of Complete One-ended Minimal Surfaces and Heegaard Surfaces in R Charles Frohman and William H. Meeks Iii
نویسنده
چکیده
Received by the editors November 7, 1989. 1980 Mathematics Subject Classification (1985 Revision). Primary 53A10,57M99. The first author was supported by the National Science Foundation grant DMS8701736, and the second author, by research grant DE-FG02-86ER250125 of the Applied Mathematical Science subprogram of the Office of Energy Research, U.S. Department of Energy, and National Science Foundation grant DMS-8900285. Two surfaces in R are ambiently isotopic if and only if there exists a oneparameter family of diffeomorphisms of R taking one surface to the other.
منابع مشابه
The Topological Uniqueness of Complete One-ended Minimal Surfaces and Heegaard Surfaces in R
Theorem 1.1 was conjectured by Frohman [10] who proved it in the case that the surfaces are triply-periodic. Earlier Meeks [18] proved the theorem in the case of finite genus and a recent example of Hoffman, Karcher and Wei [15]. In this case the only known examples are the plane and the helicoid. However, the collection of properly embedded minimal surfaces of infinite genus and one end is ext...
متن کاملThe Topological Uniqueness of Complete One-ended Minimal Surfaces and Heegaard Surfaces in R Charles Frohman and William H. Meeks Iii
Theorem 1.1 was conjectured by Frohman [10] who proved it in the case that the surfaces are triply-periodic. Earlier Meeks [19] proved the theorem in the case of finite genus. In this case the only known examples are the plane, the helicoid and a recent example of Hoffman, Karcher and Wei [16]. However, the collection of properly embedded minimal surfaces of infinite genus and one end is extrem...
متن کاملThe Topological Uniqueness of Complete One-ended Minimal Surfaces and Heegaard Surfaces in R Charles Frohman and William H. Meeks Iii
Theorem 1.1 was conjectured by Frohman [10] who proved it in the case that the surfaces are triply-periodic. Earlier Meeks [19] proved the theorem in the case of finite genus. In this case the only known examples are the plane, the helicoid and a recent example of Hoffman, Karcher and Wei [16]. However, the collection of properly embedded minimal surfaces of infinite genus and one end is extrem...
متن کاملSe p 20 02 The Topological Classification of Minimal Surfaces in R 3 Charles Frohman and William H . Meeks III
We give a complete topological classification of properly embedded minimal surfaces in Euclidian three-space This research was supported by NSF grant DMS 0104044 and NSF DMS 9803206.
متن کاملSe p 20 02 The Topological Classification of Minimal Surfaces in R 3 Charles Frohman and William H . Meeks
We give a complete topological classification of properly embedded minimal surfaces in Euclidian three-space This research was supported by NSF grant DMS 0104044 and NSF DMS 9803206.
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تاریخ انتشار 2007