- 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...
- A
geodesic dome is a
hemispherical thin-s****
structure (lattice-s****)
based on a
geodesic polyhedron. The
rigid triangular elements of the dome distribute...
- 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...
- 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...
- {\displaystyle M} with its Levi-Civita
connection is
geodesically complete if the
domain of
every maximal geodesic is ( − ∞ , ∞ ) {\displaystyle (-\infty ,\infty...
- 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
general relativity,
Schwarzschild geodesics describe the
motion of test
particles in the
gravitational field of a
central fixed m**** M , {\textstyle...
-
called a
geodesic. The
geodesic deviation equation relates the
Riemann curvature tensor to the
relative acceleration of two
neighboring geodesics. In differential...
- In
general relativity, a
geodesic generalizes the
notion of a "straight line" to
curved spacetime. Importantly, the
world line of a
particle free from...
- A
geodesic polyhedron is a
convex polyhedron made from triangles. They
usually have
icosahedral symmetry, such that they have 6
triangles at a vertex,...
