For a submanifold of of any codimension the notion of type number is introduced. Under the assumption that the type number is greater than 1 an equivalence theorem is proved.
@article{bwmeta1.element.bwnjournal-article-apmv60z3p211bwm,
author = {Pawe\l\ Witowicz},
title = {An equivalence theorem for submanifolds of higher codimensions},
journal = {Annales Polonici Mathematici},
volume = {62},
year = {1995},
pages = {211-219},
zbl = {0828.53010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv60z3p211bwm}
}
Paweł Witowicz. An equivalence theorem for submanifolds of higher codimensions. Annales Polonici Mathematici, Tome 62 (1995) pp. 211-219. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv60z3p211bwm/
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