Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.

Valiente, Kroon J.A.

Valiente Kroon, J.A., School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London, E1 4NS, United Kingdom.

Killing spinor initial data sets2008In: Journal of Geometry and Physics, ISSN 0393-0440, E-ISSN 1879-1662, Vol. 58, no 9, p. 1186-1202Article in journal (Refereed)

A large family of linear, usually overdetermined, systems of partialdifferential equations that admit a multiplication of solutions, i.e, a bilinearand commutative mapping on the solution space, is studied. Thisfamily of PDE’s contains the Cauchy–Riemann equations and the cofactorpair systems, included as special cases. The multiplication provides amethod for generating, in a pure algebraic way, large classes of non-trivialsolutions that can be constructed by forming convergent power series oftrivial solutions.