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Romero Ruiz del Portal, Francisco 2023-06-20T09:46:37Z 2023-06-20T09:46:37Z 2004 0022-0396 10.1016/j.jde.2003.11.002 https://hdl.handle.net/20.500.14352/50341 http://www.sciencedirect.com/science/journal/00220396 http://www.sciencedirect.com 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 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. eng restricted access Planar isolated and stable fixed points have index =1 journal article