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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On almost Einstein holomorphic vector bundles over Hermitian surfaces
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by Novica Blažić
Proc. Amer. Math. Soc. 110 (1990), 201-209
DOI: https://doi.org/10.1090/S0002-9939-1990-1023350-0

Abstract:

We study holomorphic vector bundles $\left ( {E,h} \right )$ of rank 2 over a compact Hermitian surface $\left ( {M,g} \right )$. Then the notion of a metric with a $k$-pinched Ricci curvature is introduced and it represents the generalization of the Einstein condition. Some necessary topological conditions for existence of a metric $h$ with $k$-pinched $\left ( {0 \leq k \leq 1} \right )$ Ricci curvature are obtained.
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Bibliographic Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 110 (1990), 201-209
  • MSC: Primary 53C25; Secondary 32L05, 53C55, 57R20
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1023350-0
  • MathSciNet review: 1023350