RT Journal Article T1 Planar isolated and stable fixed points haveindex =1 A1 Romero Ruiz del Portal, Francisco AB 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. PB Elsevier SN 0022-0396 YR 2004 FD 2004 LK https://hdl.handle.net/20.500.14352/50341 UL https://hdl.handle.net/20.500.14352/50341 LA eng DS Docta Complutense RD 30 jun 2025