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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The zeroes of nonnegative holomorphic curvature operators
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by A. M. Naveira and C. Fuertes PDF
Trans. Amer. Math. Soc. 210 (1975), 139-147 Request permission

Abstract:

Here, we study the structure of points in a holomorphic Grassmann’s submanifold where the holomorphic sectional curvature assumes its minimum and maximum. For spaces of nonnegative holomorphic sectional curvature we study the set of points on which it assumes the value zero. We show that the minimum and maximum sets of holomorphic sectional curvature are the intersections of a holomorphic Grassmann’s submanifold with linear complex holomorphic subspaces of type (1, 1).
References
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  • Shlomo Sternberg, Lectures on differential geometry, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0193578
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 210 (1975), 139-147
  • MSC: Primary 53B35
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0405274-9
  • MathSciNet review: 0405274