In mathematics, the vector flow refers to a set of closely related concepts of the flow determined by a vector field. These appear in a number of different contexts, including differential topology, Riemannian geometry and Lie group theory. These related concepts are explored in a spectrum of articles:
- exponential map
- matrix exponential
- exponential function
- infinitesimal generator (→ Lie group)
- integral curve (→ vector field)
- one-parameter subgroup
- flow (geometry)
- geodesic flow
- Hamiltonian flow
- Ricci flow
- Anosov flow
- injectivity radius (→ glossary)
Read more about Vector Flow: Vector Flow in Differential Topology, Vector Flow in Riemannian Geometry, Vector Flow in Lie Group Theory
Famous quotes containing the word flow:
“But even suppose blood should flow. Is there not a sort of blood shed when the conscience is wounded? Through this wound a man’s real manhood and immortality flow out, and he bleeds to an everlasting death. I see this blood flowing now.”
—Henry David Thoreau (1817–1862)