Abstract.
Let \(\Phi : M^k \rightarrow R^p(c)\) be an isometric immersion of an k–dimensional Riemannian manifold into space form. We present, in a pure geometry way, the notion of the rotation immersion x generated by immersion Φ into \(R^m(c)(m > p)\), which is a generalization of classical rotation hypersurface. In addition, we investigate the differential geometry of rotation immersion generated by Φ in sphere space.
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Dedicated to Professor Udo Simon on the occasion of his 70th birthday
The authors are supported by the project No.10561010 of NSFC.
Received: November 6, 2007.
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Guo, Z., Lin, L. Generalized Rotation Submanifolds in a Space Form. Result. Math. 52, 289–298 (2008). https://doi.org/10.1007/s00025-008-0311-7
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DOI: https://doi.org/10.1007/s00025-008-0311-7