ABSTRACT

Hence (a , /3, 'Y) ..1 N, in which case (a, /3, 'Y) E Tp(M) . (<==)Let(O'., /3 , 'Y)ETp(M) ,inwhichcase(O'., /3, 'Y)..1N.Sincethese twovectorsareorthogonal,theirdotproductiszero.Solvingtheequation (a ,/3,'Y).N=°for"'(,wefindthat"'(=/ta+h/3.Nowconsiderthe following

C[z - f(x, y) ) = (a , /3, "'() . �[z - f(x, y)) -/t a - h/3 + 'Y 0.