A characterization of constant isotropic immersions by circles |
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| Authors: | Sadahiro Maeda |
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| Affiliation: | (1) Department of Mathematics, Shimane University, 690-8504 Matsue, Shimane, Japan |
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| Abstract: | Motivated by the well-known result of Nomizu and Yano [4], we provide a characterization of constant isotropic immersions into an arbitrary Riemannianmanifold by circles on the submanifolds. As an immediate consequence of this result,we characterize Veronese imbeddings of complex projective spaces into complex projective spaces which are typical examples of Kähler immersions.Received: 11 January 2002 |
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| Keywords: | Primary 53B25 Secondary 53C40 |
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