A Poincaré-Hopf theorem for noncompact manifolds

Bhatia, 1967 Bredon, 1993 Cima, 1990, Bounded polynomial vector fields, Trans. Amer. Math. Soc., 318, 557, 10.1090/S0002-9947-1990-0998352-5 A. Cima, F. Mañosas and J. Villadelprat: On bounded vector fields, to appear in Rocky Mountain J. Math. Dickson, 1970, Bounded quadratic systems in the plane, J. Differential Equations, 7, 251, 10.1016/0022-0396(70)90110-5 Dold, 1972 Gottlieb, 1988, A de Moivre like formula for fixed point theory, Contemp. Math., 72, 99, 10.1090/conm/072/956481 Gottlieb, 1995, The index of discontinuous vector fields, New York J. Math., 1, 130 Hirsch, 1976 Milnor, 1965 Morse, 1929, Singular points of vector fields under general boundary conditions, Amer. J. Math., 51, 165, 10.2307/2370703 Pugh, 1968, A generalized Poincaré index formula, Topology, 7, 217, 10.1016/0040-9383(68)90002-5 Thews, 1985, Der Abbildungsgrad von Vektorfeldern zu stabilen Ruhelagen, Arch. Math., 52, 71, 10.1007/BF01197974 Wilson, 1973, Lyapunov functions and isolating blocks, J. Differential Equations, 13, 106, 10.1016/0022-0396(73)90034-X