The first positive eigenvalue of the Dirac operator on 3-dimensional Sasakian manifolds

다국어 초록 (Multilingual Abstract)

Abstract. Let (M3, g) be a 3-dimensional closed Sasakian spin manifold.
Let Smin denote the minimum of the scalar curvature of (M3, g). Let λ+ 1 > 0 be the first positive eigenvalue of the Dirac operator of (M3, g).
We proved in [13] that if λ+ 1 belongs to the interval λ+∈(1/2 , 5/2) , then λ+ 1 satisfies λ+ 1 ≥ Smin+6/8 . In this paper, we remove the restriction “if λ+ 1 belongs to the interval λ+ 1 ∈ ( 1/2 , 5/2)” and prove [수식]

참고문헌 (Reference)

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