Isometric immersions of warped products
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- by Marcos Dajczer and Theodoros Vlachos
- Proc. Amer. Math. Soc. 141 (2013), 1795-1803
- DOI: https://doi.org/10.1090/S0002-9939-2012-11673-9
- Published electronically: November 21, 2012
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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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Bibliographic 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