Abstract
We consider a generalization of the idea of an ε-tube about a submanifold of ℝn which includes, on the one hand, submanifolds parallel to the original and, on the other, isoparametric submanifolds about a focal submanifold. We discuss properties that are inherited from the core manifold and the type fibre. The construction is used to show that there are submanifolds with ‘many different’ parallel submanifolds.
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Carter, S., West, A. Partial tubes about immersed manifolds. Geom Dedicata 54, 145–169 (1995). https://doi.org/10.1007/BF01263529
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DOI: https://doi.org/10.1007/BF01263529