Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity.
We find some integrability conditions for low-dimensional manifolds to admit metrics with nonnegative scalar curvature. In particular, we solve the positive action conjecture in general relativity in the affirmative.
Schoen
R M
RM
Department of Mathematics, University of California, Berkeley, California 94720.
Yau
S T
ST