Split Quaterionic Representation of SDYM (SU(1,1) Instantons in \u3ci\u3eS\u3c/i\u3e\u3csup\u3e2-\u3c/sup\u3e × \u3ci\u3eS\u3c/i\u3e\u3csup\u3e2+\u3c/sup\u3e

Using split‐quaternions, we find explicit SDYM SU(1,1) instanton solutions in S2- × S2+ which is the conformal compactification of the semi‐Euclidean 4‐spacetime R2+2 of split signature (-,-,+,+). It is also shows that SDYM and ASDYM fields in S2- × S2+ can be described as simple split-quaternionic 2-forms