Einstein manifolds Arthur L. Besse
Publisher: Springer

Lie symmetry group method is applied to find the Lie point symmetry group of a system of partial differential equations that determines general form of four-dimensional Einstein Walker manifold. Exotic manifolds are spaces that are homeomorphic but not diffeomorphic. (Phys.org)—University of Arizona physicist Andrei Lebed has stirred the physics community with an intriguing idea yet to be tested experimentally: The world's most iconic equation, Albert Einstein's E=mc2, may be correct or not depending on where you are in space. Its a way of dealing with curved space-time that matter creates. The SM "space" here is an appropriate fiber-bundle on an appropriate 4-manifold. FYI, Riemannian manifolds are used in General Relativity calculations (i.e. Wednesday, February 13, 2013 4:00 PM to 5:00 PM. Geometry-Analysis Seminar: Critical metrics on connected sums of Einstein manifolds. Aside from the feeling of suggestive similarities between Gödel's theorem and the Uncertainty Principle, the answer to this for me has always been the subject of exotic manifolds. This is pretty strange because it means that the usual constructions we use in setting up the differential geometry needed for Einstein's General Relativity don't go through like it says they should in the receipe book.