FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 4, PAGES 953-977

Non-existence of closed asymptotic curves on the tubes of negative Gaussian curvature with one-to-one spherical mapping

G.A.Kovaleva

It is proved that on the tubes having negative Gaussian curvature and biunique spherical image there is no closed asymptotic curves and by that a Nirenberg's problem is solved which he has posed in relation with the study of rigidity of T-surfaces.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/95/954/95408.htm
Last modified: October 3, 1997.