Skip to main content
Log in

Vanishing theorems for square-integrable harmonic forms

  • Published:
Proceedings Mathematical Sciences Aims and scope Submit manuscript

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.

References

  1. Andreotti A and Vesentini E 1965 Carleman estimates for the Laplace-Beltrami equation on complex manifolds.Publ. Math. IHES 25 1–30

    Google Scholar 

  2. Calabi E 1963 Matsushima's theorem in Riemannian and Kählerian geometry.Notices Am. Math. Soc. 10 505

    Google Scholar 

  3. Calabi E and Vesentini E 1960 On compact locally symmetric Kähler manifolds.Ann. Math. 71 472–507

    Article  MathSciNet  Google Scholar 

  4. de Rham G 1973Varietiés differentiables (Paris: Hermann)

    Google Scholar 

  5. Hitchin N 1974 Harmonic spinors.Adv. Math. 14 31–55

    Article  MathSciNet  Google Scholar 

  6. Lichnerowicz A 1973 Spineurs harmoniques.CR Acad. Sci. Paris Ser AB 257 7–9

    MathSciNet  Google Scholar 

  7. Matsushima Y 1962 On the first Betti number of compact quotients of higher-dimensional symmetric spaces.Ann. Math. 75 312–330

    Article  MathSciNet  Google Scholar 

  8. Vesentini E 1967 Lectures on Levi convexity. Tata Institute of Fundamental Research, Bombay

    MATH  Google Scholar 

  9. Yano K and Bochner S 1953 Curvature and Betti numbers.Ann. Math. Studies No. 32, (Princeton: University Press)

    MATH  Google Scholar 

  10. Yau S T 1976 Some function theoretic properties of complete Riemannian manifolds and their application to geometry.Indiana Univ. Math. J. 25 659–670

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by National Science Foundation Grant No. MPS 75–0791

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dodziuk, J. Vanishing theorems for square-integrable harmonic forms. Proc Math Sci 90, 21–27 (1981). https://doi.org/10.1007/BF02867014

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02867014

Keywords

Navigation