Romero Ruiz del Portal, Francisco2023-06-202023-06-2020040022-039610.1016/j.jde.2003.11.002https://hdl.handle.net/20.500.14352/50341Let 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 the fixed 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.engjournal articlehttp://www.sciencedirect.com/science/journal/00220396http://www.sciencedirect.comrestricted access517.9515.1Isolated periodic orbitsFlowsStabilityFixed-point indexPrime ends compactificationEcuaciones diferencialesTopología1202.07 Ecuaciones en Diferencias1210 Topología