Constant Mean Curvature Immersions of Enneper Type
Download or Read eBook Constant Mean Curvature Immersions of Enneper Type PDF 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.
Author | : Henry C. Wente |
Publisher | : American Mathematical Soc. |
Total Pages | : 90 |
Release | : 1992 |
ISBN-10 | : 9780821825365 |
ISBN-13 | : 0821825364 |
Rating | : 4/5 (65 Downloads) |
Book Synopsis Constant Mean Curvature Immersions of Enneper Type by : Henry C. Wente
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.