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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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Isometric immersions of warped products
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by Marcos Dajczer and Theodoros Vlachos PDF
Proc. Amer. Math. Soc. 141 (2013), 1795-1803 Request permission

Abstract:

We provide conditions under which an isometric immersion of a (warped) product of manifolds into a space form must be a (warped) product of isometric immersions.
References
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Additional Information
  • Marcos Dajczer
  • Affiliation: Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, 22460-320, Brazil
  • MR Author ID: 54140
  • Email: marcos@impa.br
  • Theodoros Vlachos
  • Affiliation: Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece
  • MR Author ID: 291296
  • Email: tvlachos@uoi.gr
  • Received by editor(s): September 9, 2011
  • Published electronically: November 21, 2012
  • Communicated by: Lei Ni
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 1795-1803
  • MSC (2010): Primary 53C42; Secondary 53C40
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11673-9
  • MathSciNet review: 3020865