- disc in R2. Any γ
extends to all of ℝ if and only if M is
geodesically complete.
Geodesic flow is a
local R-action on the
tangent bundle TM of a manifold...
- Let C be a
geodesically convex subset of M. A
function f : C → R {\displaystyle f:C\to \mathbf {R} } is said to be a (strictly)
geodesically convex function...
- A
geodesic dome is a
hemispherical thin-s****
structure (lattice-s****)
based on a
geodesic polyhedron. The
rigid triangular elements of the dome distribute...
- In
general relativity,
Schwarzschild geodesics describe the
motion of test
particles in the
gravitational field of a
central fixed m**** M , {\textstyle...
- A
geodesic circle is
either "the
locus on a
surface at a
constant geodesic distance from a
fixed point" or a
curve of
constant geodesic curvature. A geodesic...
- directions. Formally, a
manifold M {\displaystyle M} is (
geodesically)
complete if for any
maximal geodesic ℓ : I → M {\displaystyle \ell :I\to M} , it holds...
- A
geodesic is a
curve representing in some
sense the
shortest path
between two
points on a surface. Look up
geodesic in Wiktionary, the free dictionary...
- In mathematics, a
prime geodesic on a
hyperbolic surface is a
primitive closed geodesic, i.e. a
geodesic which is a
closed curve that
traces out its image...
- geometry, the
geodesic curvature k g {\displaystyle k_{g}} of a
curve γ {\displaystyle \gamma }
measures how far the
curve is from
being a
geodesic. For example...
- A
geodesic polyhedron is a
convex polyhedron made from triangles. They
usually have
icosahedral symmetry, such that they have 6
triangles at a vertex,...
