Killing Symmetry
A Killing vector field is one of the most important types of symmetries and is defined to be a smooth vector field that preserves the metric tensor:
This is usually written in the expanded form as:
Killing vector fields find extensive applications (including in classical mechanics) and are related to conservation laws.
Read more about this topic: Spacetime Symmetries
Famous quotes containing the words killing and/or symmetry:
“Mary: Oh, Dan, when is this trouble going to end? This killing and more killing.
Dan: It’s hard on you women, I know. You’re braver than we are.”
—Dudley Nichols (1895–1960)
“What makes a regiment of soldiers a more noble object of view than the same mass of mob? Their arms, their dresses, their banners, and the art and artificial symmetry of their position and movements.”
—George Gordon Noel Byron (1788–1824)