- geometry, the
total absolute curvature of a
smooth curve is a
number defined by
integrating the
absolute value of the
curvature around the curve. It...
- In mathematics,
curvature is any of
several strongly related concepts in
geometry that
intuitively measure the
amount by
which a
curve deviates from being...
-
radius of
curvature is the
length of the
curvature vector. In the case of a
plane curve, then R is the
absolute value of R≡|dsdφ|=1κ,{\displaystyle R\equiv...
- angles) have well-defined
total curvature,
interpreting the
curvature as
point m****es at the angles. The
total absolute curvature of a
curve is
defined in almost...
-
continuous curve evolution. If the
curve is non-convex, its
total absolute curvature decreases monotonically,
until it
becomes convex. Once convex, the...
- and only if its
curvature has a
consistent sign,
which happens if and only if its
total curvature equals its
total absolute curvature. Archimedes, in...
-
total absolute curvature of a
closed smooth space curve,
stating that it is
always at
least 2π{\displaystyle 2\pi }. Equivalently, the
average curvature is...
-
property of
space and time or four-dimensional spacetime. In particular, the
curvature of
spacetime is
directly related to the
energy and
momentum of whatever...
- that is
sufficiently smooth to
define the
curvature κ at each of its points, and if the
total absolute curvature is less than or
equal to 4π, then K is an...
-
constant scalar curvature Kähler
metric (cscK metric), is (as the name suggests) a Kähler
metric on a
complex manifold whose scalar curvature is constant...
