Differential geometry of tensor product immersions II
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In the first part of this series, we prove that the tensor product immersionf1⊗⋯ ⊗f2k of2k isometric spherical immersions of a Riemannian manifoldM in Euclidean space is ofℓ-type withℓ ≥ k and classify tensor product immersionsf1⊗⋯⊗f2k which are ofk-type. In this article we investigate the tensor product immersionsf1⊗⋯⊗f2k which are of (k+1)-type. Several classification theorems are obtained.
Key wordsType number tensor product immersion submanifolds of finite type Veronese immersion
MSC 199153 C 40 53 B 25 58 G 25
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