180 RICE UNIVERSITY STUDIES
then h ■ Kz is defined on the connected neighborhood Kz ГУ B of 0 in Kz,
and vanishes on
M' ГУ Kz = {(tz,k(∣tz∣)): t ≠ 0}.
Up to an isomorphism of Kz with R3, h∣7CzΓιB and M' ГУ Kz satisfy
Lemma 3.2, so that h ∣ Kz = 0. Since z is arbitrary, h = 0.
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