Skip to main content

An estimate of the lower bound of levi form and its applications

  • 783 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1255)

Abstract

In this paper, we use the precise estimate of the lower bound of Levi form of an hermitian manifold to obtain the conditions of Steinness and Liouville theorem.

Keywords

  • Riemannian Manifold
  • Ricci Curvature
  • Complete Riemannian Manifold
  • Dual Frame
  • Covariant Differentiation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Research partially supported by Science Foundation of Shanghai Jiao Tong University.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. R.E.Greene and H.Wu, Function theory on manifold which possesses a pole, Lecture Notes in math. N. 699, Springer-verlag.

    Google Scholar 

  2. Kobayashi. S and Nomizu.K., Foundation of Diff. Geo., vol. II, John Wiley and Son Inc., 1969.

    Google Scholar 

  3. J. Cheeger, M. Gromov and H. Taylor, J.Diff. Geo. 17 (1982), 15–53.

    MathSciNet  Google Scholar 

  4. 27(1984), 631–643.

    Google Scholar 

  5. P.Griffith and J.Harris, Principles of Algebraic Geometry, John Wiley and Son, Inc., 1978, 71–79.

    Google Scholar 

  6. F. Docquier and H. Grauert, Math. Ann. 140(1960), 94–123.

    CrossRef  MathSciNet  Google Scholar 

  7. A. Kasue, Osaka J. of Math. 18(1981), 109–114.

    MathSciNet  Google Scholar 

  8. S.T. Yau. Amer. J. of Math. 100(1978) 197–203.

    CrossRef  Google Scholar 

  9. 24(1981), 945–952.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Chen, Z. (1987). An estimate of the lower bound of levi form and its applications. In: Gu, C., Berger, M., Bryant, R.L. (eds) Differential Geometry and Differential Equations. Lecture Notes in Mathematics, vol 1255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077677

Download citation

  • DOI: https://doi.org/10.1007/BFb0077677

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17849-1

  • Online ISBN: 978-3-540-47883-6

  • eBook Packages: Springer Book Archive