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TWO EXAMPLES OF LEFSCHETZ FIXED POINT FORMULA WITH RESPECT TO SOME BOUNDARY CONDITIONS
초록
The boundary conditions Pe0 and Pe1 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
키워드
Lefschetz fixed point formula; simple fixed point; attracting and repelling fixed points; de Rham cohomology; boundary condition
- 제목
- TWO EXAMPLES OF LEFSCHETZ FIXED POINT FORMULA WITH RESPECT TO SOME BOUNDARY CONDITIONS
- 저자
- 이윤원
- 발행일
- 2024-02
- 유형
- Y
- 저널명
- 충청수학회지
- 권
- 37
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- 1
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- 1 ~ 17