Examples of isometric immersions of [R.sup.2] into [R.sup.4] with vanishing

normal curvature Hiroshi MORI Communicated by Kenji FUKAYA, M.J.A.

The

normal curvature of the spine reappears as soon as astronauts hit normal gravity.

Backward shift with an extended head position may accompany a relatively

normal curvature of the cervical spine.

where 1/[T.sub.g], 1/[R.sub.n] and 1/[R.sub.g] are geodesic torsion,

normal curvature and geodesic curvature, respectively.

The rulings are principal curvature lines with vanishing

normal curvature and the Gaussian curvature vanishes at all surface points.

The Gaussian curvature K and the

normal curvature [K.sub.v] are given by

But does bending his body beyond its

normal curvature hurt?

[[kappa].sub.n] is

normal curvature while [[kappa].sub.g] is geodesic curvature, then:

Tosun at all introduced scalar

normal curvature of 2-dimensional timelike ruled surfaces [9].

The drug's buildup distorted the

normal curvature of the membranes and seemed to trigger a quality-control check in which the cell starts breaking itself down, a process called autophagy, the team reports April 18 in PLoS ONE.

where [k.sub.n](s) = <[??]"(s), n(s)), [k.sub.g](s) = <[??]"(s), g(s)> and [[tau].sub.g](s) = -<n'(s), g(s)> are called the

normal curvature, the geodesic curvature and the geodesic torsion of [??], respectively.

As soon as the tip of the tube is visualized in the oropharynx, the part of the tube outside the nostril is returned to its

normal curvature and advanced toward the larynx.