INEXTENSIBLE FLOW OF A SEMI-REAL QUATERNIONIC CURVE IN SEMI-EUCLIDEAN SPACE R 4 2

Abstract

In this paper, we investigate a general formulation for inextensibleáows of semi-real quaternionic curve in R42. We obtain necessary and sufficientconditions for inextensible áow of semi-real quaternionic curves. Moreover, wegive the evolution equation of curvatures as a partial di§erential equation.