Abstract.
Motivated by the well-known result of Nomizu and Yano [4], we provide a characterization of constant isotropic immersions into an arbitrary Riemannian manifold 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.
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Received: 11 January 2002
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Maeda, S. A characterization of constant isotropic immersions by circles. Arch. Math. 81, 90–95 (2003). https://doi.org/10.1007/s00013-003-4677-1
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DOI: https://doi.org/10.1007/s00013-003-4677-1