Mathematics – Differential Geometry
Scientific paper
1997-10-21
Mathematics
Differential Geometry
17 pages, LaTex
Scientific paper
In this paper we show that the Ray-Singer complex analytic torsion is trivial for even dimensional Calabi-Yau manifolds. Then we define the quaternionic analytic torsion for quaternionic manifolds and prove that they are metric independent. In dimension four, the quaternionic analytic torsion equals to the self-dual analytic torsion. For higher dimensional manifolds, the self-dual analytic torsion is a conformal invariant.
Leung Naichung Conan
Yi Sangkug
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