In this paper we study the Milnor fibrations associated to real analytic map germs $\psi:(\mathbb{ R}^{ m},0) \to (\mathbb{ R}^2,0)$ with isolated critical point at $0\in \mathbb{ R}^{ m}$. The main result relates the existence of called Strong Milnor fibrations with a transversality condition of a convenient family of analytic varieties with isolated critical points at the origin $0\in \mathbb{ R}^{ m}$, obtained by projecting the map germ $\psi$ in the family $L_{ -\theta}$ of all lines through the origin in the plane $\mathbb R^{ 2}.$
Categories: math.GT math.AT