Nonexistence Results of Minimal Immersions |
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Authors: | Mohammed Benalili Hafida Benallal |
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Institution: | (1) Departement of Mathematics, Faculty of Sciences, University of Tlemcen, BP119, Tlemcen, Algeria |
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Abstract: | Let M be a Riemannian m-dimensional manifold with m ≥ 3, endowed with non zero parallel p-form. We prove that there is no minimal isometric immersions of M in a Riemannian manifold N with constant strictly negative sectional curvature. Next we show that, under the conform flatness of the manifold N and some assumptions on the Ricci curvature of N, there is no α-pluriharmonic isometric immersion. |
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Keywords: | 53C42 |
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