Skip to main content
SpringerLink
Log in

On complete minimal surfaces with parallel and flat ends

  • Conference paper
  • First Online:
Differential Geometry and Topology

Part of the book series: Lecture Notes in Mathematics ((2803,volume 1369))

Abstract

In this paper we have proved the non-existence of minimal surfaces with 5 flat ends and presented some new examples of minimal surfaces with parallel and flat ends.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Peng C.K. Some new examples of minimal surfaces in R 3 and its applications, MSRI 07510-85.

    Google Scholar 

  2. L.P. Jorge and W.H. Meeks The topology of complete minimal surfaces of finite total Gaussian curvature. Topology, 22(1983) 203–221.

    Article  MathSciNet  MATH  Google Scholar 

  3. R. Osserman Assurvey of minimal surfaces, Van Nostrand Reinhold, New York, (1969).

    Google Scholar 

  4. Xiao L. Some Results on pseudo-embedded minimal surfaces in R 3. To appear in Acta Mathematica Sinica.

    Google Scholar 

  5. R. Schoen Uniqueness, symmetry, and embeddedness of minimal surfaces, J.Differential Geometry, 18(1983), 791–809.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Nankai Institute of Mathematics and Graduate School of University of Science and Technology of China, China

    Liang Xiao

Authors
  1. Liang Xiao
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Boju Jiang Chia-Kuei Peng Zixin Hou

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Xiao, L. (1989). On complete minimal surfaces with parallel and flat ends. In: Jiang, B., Peng, CK., Hou, Z. (eds) Differential Geometry and Topology. Lecture Notes in Mathematics, vol 1369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087542

Download citation

  • DOI: https://doi.org/10.1007/BFb0087542

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51037-6

  • Online ISBN: 978-3-540-46137-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation