Prolongations of geometric overdetermined systems
Thomas Branson, Andreas Čap, Michael Eastwood, Rod Gover, Thomas Branson, Andreas Čap, Michael Eastwood, A. Rod Gover · 2004
Abstract. We show that a wide class of geometrically defined overdetermined semilinear partial differential equations may be explicitly prolonged to obtain closed systems. As a consequence, in the case of linear equations we extract sharp bounds on the dimension of the solution space. 1.