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
[[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 .
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.