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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.

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Forelli type theorem in harmonic map forms
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by Song-Ying Li and Jie Luo PDF
Proc. Amer. Math. Soc. 147 (2019), 5361-5371 Request permission

Abstract:

In the current paper, we give and prove a formulation of the Forelli Theorem on a starlike domain in $\mathbb {C}^n$. We also generalize the Forelli Theorem from a function to a map with a real Riemannian manifold as its target manifold.
References
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Additional Information
  • Song-Ying Li
  • Affiliation: School of Mathematics and Informatics, Fujian Normal University, Fuzhou, Fujian 350117, People’s Republic of China – and – Department of Mathematics, University of California Irvine, Irvine, California 92697–3875
  • MR Author ID: 228844
  • Email: sli@math.uci.edu
  • Jie Luo
  • Affiliation: School of Mathematics and Informatics, Fujian Normal University, Fuzhou, Fujian 350117, People’s Republic of China
  • MR Author ID: 1161307
  • Email: luojie0520@0520163.com
  • Received by editor(s): August 23, 2018
  • Received by editor(s) in revised form: September 20, 2018
  • Published electronically: August 28, 2019
  • Additional Notes: This research was partially supported by the National Natural Science Foundation of China (11671357).
  • Communicated by: Jiaping Wang
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 5361-5371
  • MSC (2010): Primary 53C43, 32A10
  • DOI: https://doi.org/10.1090/proc/14457
  • MathSciNet review: 4021095