Constant Mean Curvature Immersions of Enneper Type

Constant Mean Curvature Immersions of Enneper Type
Author :
Publisher : American Mathematical Soc.
Total Pages : 90
Release :
ISBN-10 : 9780821825365
ISBN-13 : 0821825364
Rating : 4/5 (65 Downloads)

Book Synopsis Constant Mean Curvature Immersions of Enneper Type by : Henry C. Wente

Download or read book Constant Mean Curvature Immersions of Enneper Type written by Henry C. Wente and published by American Mathematical Soc.. This book was released on 1992 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir is devoted to the case of constant mean curvature surfaces immersed in [bold]R3. We reduce this geometrical problem to finding certain integrable solutions to the Gauss equation. Many new and interesting examples are presented, including immersed cylinders in [bold]R3 with embedded Delaunay ends and [italic]n-lobes in the middle, and one-parameter families of immersed constant mean curvature tori in [bold]R3. We examine minimal surfaces in hyperbolic three-space, which is in some ways the most complicated case.


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