Advances in mathematics and physics have often occurred together. The development of
Newton's theory of mechanics and the simultaneous development of the techniques of …

Review articles tend to fall into two categories: either they are unbiased and comprehensive
with a list of references including every paper on the subject; or else they are selective …

Einstein's equations stem from General Relativity. In the context of Riemannian manifolds,
an independent mathematical theory has developed around them. Recently, it has produced …

Page 1 FOUNDATIONS OF MECHANICS SECOND EDITION RALPH ABRAHAM JERROLD
E. MARSDEN AMS CHELSEA PUBLISHING American Mathematical Society • Providence …

In this paper we shall study a special class of solutions of the self-dual Yang-Mills equations.
The original self-duality equations which arose in mathematical physics were defined on …

When studying relationships between curvature of a complete Riemannian manifold and
other topological or geometric properties, it is useful to have many examples. This paper will …

A new proof is given of the positive energy theorem of classical general relativity. Also, a
new proof is given that there are no asymptotically Euclidean gravitational instantons.(These …

It is shown that in certain parity-violating theories in 4k+ 2 dimensions, general covariance is
spoiled by anomalies at the one-loop level. This occurs when Weyl fermions of spin-1 2 or-3 …

The last ten years have seen rapid advances in the understanding of differentiable four-
manifolds, not least of which has been the discovery of new'exotic'manifolds. These results …

The classical theory of partial differential equations is rooted in physics, where equations
(are assumed to) describe the laws of nature. Law abiding functions, which satisfy such an …