Lichnerowicz formula

**spin geometry**, **string geometry**, **fivebrane geometry** …

noncommutative topology, noncommutative geometry

noncommutative stable homotopy theory

**genus, orientation in generalized cohomology**

An explicit expression in analysis for the square of a Dirac operator on a Riemannian manifold.

The crucial point of the formula is that it shows a scalar summand (i.e. 0th order derivative) proportional to the scalar curvature.

- Wikipedia,
*Lichnerowicz formula*

Created on March 11, 2014 at 09:12:19. See the history of this page for a list of all contributions to it.