ON THE NUMBER OF CONNECTED COMPONENTS IN THE SPACE OF CLOSED NONDEGENERATE CURVES ON Sn
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چکیده
The main definition. A parametrized curve : I ! R n is called nonde-generate if for any t 2 I the vectors 0 (t); : : : ; (n) (t) are linearly independent. Analogously : I ! S n is called nondegenerate if for any t 2 I the covariant derivatives 0 (t); : : : ; (n) (t) span the tangent hyperplane to S n at the point (t) (compare with the notion of n-freedom in G]).
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تاریخ انتشار 1992