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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A spectral condition determining the Kaehler property
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by Harold Donnelly PDF
Proc. Amer. Math. Soc. 47 (1975), 187-194 Request permission

Abstract:

We prove that the spectrum of the reduced complex Laplacian determines if a Hermitian manifold is Kaehler.
References
  • Marcel Berger, Eigenvalues of the Laplacian, Global Analysis (Proc. Sympos. Pure Math., Vol. XVI, Berkeley, Calif., 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 121–125. MR 0264549
  • Harold Donnelly, Minakshisundaram’s coefficients on Kaehler manifolds, Proc. Sympos. Pure Math., vol. 27, Amer. Math. Soc., Providence, R. I. (to appear).
  • Peter B. Gilkey, Spectral geometry and the Kaehler condition for complex manifolds, Invent. Math. 26 (1974), 231–258. MR 346849, DOI 10.1007/BF01418951
  • V. K. Patodi, An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds, J. Differential Geometry 5 (1971), 251–283. MR 290318
  • V. K. Patodi, Curvature and the eigenforms of the Laplace operator, J. Differential Geometry 5 (1971), 233–249. MR 292114
  • E. Vesentini, Lectures on Levi convexity of complex manifolds and cohomology vanishing theorems, Tata Institute of Fundamental Research Lectures on Mathematics, No. 39, Tata Institute of Fundamental Research, Bombay, 1967. Notes by M. S. Raghunathan. MR 0232016
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 47 (1975), 187-194
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0355914-3
  • MathSciNet review: 0355914