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On the number of connected components in the space of closed nondegenerate curves on $S_n$
1991
Bulletin of the American Mathematical Society
Preserved Fulltext
The main definition. A parameterized curve y\\ -» R n is called nondegenerate if for any t £ I the vectors y(t), ... , y^n\t) are linearly independent. Analogously y: I -• S n is called nondegenerate if for any tel the covariant derivatives y\t), ... , y (t) span the tangent hyperplane to S* at the point y{t) (compare with the notion of «-freedom in [G]).
doi:10.1090/s0273-0979-1991-16028-3
fatcat:m3ee2r7kejacvh74t43oh3m2bi