%0 Journal Article %A Romero Ruiz del Portal, Francisco %T Planar isolated and stable fixed points haveindex =1 %D 2004 %@ 0022-0396 %U https://hdl.handle.net/20.500.14352/50341 %X Let WCR2 be an open subset and f :W-f ðWÞCR2 be an orientation reversing homeomorphism. We prove that if pAW is an isolated and stable fixed point of f then thefixed point index of f at p; iR2 ð f ; pÞ; is 1. We apply our theorem to the study of the orbital stability of isolated periodic orbits of flows in four-dimensional riemannian manifolds. %~