Skip to main content
Log in

Cylindrical surfaces of delaunay

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

For the cylindrical norm onR 3, for which the isoperimetric shape is a cylinder rather than a round ball, there are analogs of the classical Delaunay surfaces of revolution of constant mean curvature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Barbosa João Lucas, do Carmo Manfredo,Stability of hypersurfaces with constant mean curvature, Math. Z.,185 (1984), 339–353.

    Article  MATH  MathSciNet  Google Scholar 

  2. Cahn J. W.,Stability of rods with anisotropic surface free energy, Scripta Met.,13 (1979), 1069–1071.

    Article  Google Scholar 

  3. Eells James,The surfaces of Delaunay, Math. Intel.,9 (1987), 53–57.

    MATH  Google Scholar 

  4. Kapouleas Nicolaos,Compact constant mean curvature surfaces in Euclidean three-space, J. Diff. Geom.,33 (1991), 683–715.

    MATH  Google Scholar 

  5. Kapouleas Nicolaos,Constant mean curvature surfaces in Euclidean three-space, Bull. AMS,17 (1987), 318–326.

    Article  MATH  MathSciNet  Google Scholar 

  6. Morgan Frank,Hexagonal surfaces of Kapouleas, Pacific J. Math., to appear, preprint at arxiv.org.

  7. Morgan Frank,Planar Wulff shape is unique equilibrium, Proc. Amer. Math. Soc.,133 (2005), 809–813.

    Article  MATH  MathSciNet  Google Scholar 

  8. Morgan Frank,Riemannian Geometry: a Beginner’s Guide, A. K. Peters, Ltd. 1998.

  9. Morgan Frank,Streams of cylindrical water, Math. Intel.,26 (2004), 70–72.

    MATH  Google Scholar 

  10. Taylor Jean,Crystalline variational problems, Bull. AMS,84 (1978), 568–588.

    MATH  Google Scholar 

  11. White Brian,Some recent developments in differential geometry, Math. Intel.,11 (1989), 41–47.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Morgan, F. Cylindrical surfaces of delaunay. Rend. Circ. Mat. Palermo 53, 469–477 (2004). https://doi.org/10.1007/BF02875739

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02875739

Keywords

Navigation