Codimension two Kähler submanifolds of space forms |
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Authors: | M J Ferreira R Tribuzy |
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Institution: | (1) Departamento de Matemática Faculdade de Ciências, Universidade de Lisboa, R. Ernesto de Vasconcelos, C1, 3°, 1749-016 Lisboa, Portugal;(2) Instituto de Matemática, ICE, Universidade do Amazonas, 6900, AM Manaus, Brasil |
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Abstract: | In this article we study isometric immersions from Kähler manifolds whose (1, 1) part of the second fundamental form is parallel, theppmc isometric immersions. When the domain is a Riemann surface these immersions are precisely those with parallel mean curvature. P. J. Ryan has classified the Kähler manifolds that admit isometric immersions, as real hypersurfaces, in space forms. We classify the codimension twoppmc isometric immersions into space forms. |
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Keywords: | 53C42 53B20 53B25 |
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