Adriana Turtoi: On the twisted Dirac operator, p.383-386

Abstract:

In [3], [2], lower bounds are given for the eigenvalues of the so called ``submanifold twisted Dirac operator" $D_H$ and their limiting cases are discussed when the mean curvature $H\neq 0$. We showed in [6] that Hijazi-Zhang's theorem is true as well when the considered spin manifold is minimal, and therefore $H=0.$

Key Words: Dirac operator, spin structure, submanifold, twisted Dirac operator

2000 Mathematics Subject Classification: Primary: 53C27,
Secondary: 53C80.

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