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Journal of the Chungcheong Mathematical Society Volume 37, No. 1.jpg
KCI등재 학술저널

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.

1. Introduction

2. The boundary conditions [P₀, P₁] and de Rham complex

3. Examples of Lefschetz fixed point formula on the complex

References

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