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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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Stability of harmonic maps and eigenvalues of the Laplacian
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Trans. Amer. Math. Soc. 301 (1987), 557-589 Request permission

Abstract:

The index and nullity of the Hessian of the energy for every harmonic map are estimated above by a geometric quantity. The stability theory of harmonic maps is developed and as an application, the Kähler version of the Lichnerowicz-Obata theorem about the first eigenvalue of the Laplacian is proved.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 301 (1987), 557-589
  • MSC: Primary 58E20; Secondary 58E05, 58G11, 58G25
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0882704-8
  • MathSciNet review: 882704