Skip to main content
SpringerLink
Log in

Partial differential equations in differential geometry

  • Chapter
  • First Online:
Book cover Differential Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1263))

Research supported in part by a grant from the National Science Foundation.

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. AUBIN, T., Nonlinear analysis on manifolds. Monge-Ampère equations. Die Grundlehren der Math., Vol 252, Springer-Verlag, New York, 1982.

    Book  MATH  Google Scholar 

  2. GILBARG, D. and TRUDINGER, N., Elliptic Partial Differential Equations of Second Order, 2nd edition, Die Grundlehren der Math., Vol. 224, Springer-Verlag, New York, 1983.

    Book  MATH  Google Scholar 

  3. KAZDAN, JERRY L., Prescribing the Curvature of a Riemannian Manifold, CBMS Regional Conference Series in Math., No. 57, American Math. Soc., Providence, R.I., 1985.

    Book  MATH  Google Scholar 

  4. BRÉZIS, H., Analyse Fonctionnelle, Mason, Paris, 1983.

    MATH  Google Scholar 

  5. WARNER, F.W., Foundations of Differentiable Manifolds and Lie Groups, Springer-Verlag, New York, 1984 (reprinted from the 1971 edition published by Scott-Foresman).

    Google Scholar 

  6. MORREY, C.B., Multiple Integrals in the Calculus of Variations, Die Grundlehren der Math., Vol. 130, Springer-Verlag, New York, 1966.

    MATH  Google Scholar 

  7. ATIYAH, M.F., "The Heat Equation in Riemannian Geometry", Seminaire Bourbaki 1973/1974, Exp. 436, Lecture Notes in Math., Vol.431, Springer-Verlag, Berlin, 1975.

    Google Scholar 

  8. WU, H., "The Bochner Technique", Proc. 1980 Bejing Sympos. on Diff. Geom. and Diff. Eq., Vol. 2, (S.S. Chern and Wu Wen-tsun, editors), Science Press, China, and Gordon & Breach, New York, 1982, 929–1072

    Google Scholar 

  9. GROMOV, M., and LAWSON, H.B., "Positive curvature and the Dirac operator on complete Riemannian manifolds", Inst. Hautes Études Sci. Publ. Math., 59 (1983), 83–196.

    Article  MathSciNet  MATH  Google Scholar 

  10. NIRENBERG, L., Lectures on Linear Partial Differential Equations, C.B.M.S. Regional Conference Series in Math., No. 17, Amer. Math. Soc., Providence, R.I., 1973.

    MATH  Google Scholar 

Download references

Authors
  1. Jerry L. Kazdan
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Vagn Lundsgaard Hansen

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this chapter

Cite this chapter

Kazdan, J.L. (1987). Partial differential equations in differential geometry. In: Hansen, V.L. (eds) Differential Geometry. Lecture Notes in Mathematics, vol 1263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078612

Download citation

  • DOI: https://doi.org/10.1007/BFb0078612

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18012-8

  • Online ISBN: 978-3-540-47249-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation