Constant mean curvature immersions of Enneper type

Bibliographic Information

Constant mean curvature immersions of Enneper type

Henry C. Wente

(Memoirs of the American Mathematical Society, no. 478)

American Mathematical Society, 1992

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Note

Includes bibliographical references (p. 76-77)

"November 1992, volume 100, number 478 (first of 4 numbers)"

Description and Table of Contents

Description

This work is devoted to the case of constant mean curvature surfaces immersed in R (or, more generally, in spaces of constant curvature). Wente reduces this geometrical problem to finding certain integrable solutions to the Gauss equation. Many new and interesting examples are presented, including immersed cylinders in R with embedded Delaunay ends and n-lobes in the middle, and one-parameter families of immersed cmc tori in R . Finally, Wente examines minimal surfaces in hyperbolic three-space, which is in some ways the most complicated case.

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Details

  • NCID
    BA19023796
  • ISBN
    • 0821825364
  • LCCN
    92028574
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Providence, R.I.
  • Pages/Volumes
    vi, 77 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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