Abstract
One purpose of this paper is to obtain formulae for the shape operators of tubes, whose radius is not necessarily constant, over Riemannian submanifolds. Another purpose of this paper is to define the notion of the natural lift of a distribution on a Riemannian submanifold to a tube over the submanifold and investigate its integrability. Also, we shall construct models of certain kind of Riemannian hypersuface in terms of the formulae for the shape operators of tubes.
Citation
Naoyuki Koike. "On tubes of nonconstant radius." Tsukuba J. Math. 17 (1) 267 - 286, June 1993. https://doi.org/10.21099/tkbjm/1496162144
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