Analytic Torsion for Quaternionic manifolds and related topics

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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.
17 pages, LaTex

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/33367

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9710022
 http://arxiv.org/abs/dg-ga/9710022

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arXiv