Se p 20 02 The Topological Classification of Minimal Surfaces in R 3 Charles Frohman and William H . Meeks

نویسنده

  • Charles Frohman
چکیده

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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Se 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.

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The topological classification of minimal surfaces in R 3

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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...

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The 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...

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The 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...

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تاریخ انتشار 2008