TWO EXAMPLES OF LEFSCHETZ FIXED POINT FORMULA WITH RESPECT TO SOME BOUNDARY CONDITIONS

TWO EXAMPLES OF LEFSCHETZ FIXED POINT FORMULA WITH RESPECT TO SOME BOUNDARY CONDITIONS

The boundary conditions e P0 and e P1 were introduced in [5] by using the Hodge decomposition on the de Rham complex. In [6] the Atiyah-Bott-Lefschetz type fixed point formulas were proved on a compact Riemannian manifold with boundary for some special type of smooth functions by using these two boundary conditions. In this paper we slightly extend the result of [6] and give two examples showing these fixed point theorems.