In mathematics, a (compact) taut submanifold N of a space form M is a compact submanifold with the property that every distance function
for
which is a Morse function, is perfect.
If N is not compact, one needs to consider the restriction of the Lq to any of their sublevel sets.
External links
- Kuiper, N.H. (2001), "Tight and taut immersions", in Hazewinkel, Michiel, Encyclopaedia of Mathematics, Kluwer Academic Publishers, ISBN 978-1556080104
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