Adiabatic limit and connections in Finsler Geometry

Huitao Feng; Ming Li

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arXiv · 1207.1552

Adiabatic limit and connections in Finsler Geometry

Huitao Feng·Ming Li

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Abstract

In this paper, we identify the Bott connection on the natural foliation of the projective sphere bundle of a Finsler manifold to the Chern connection of this manifold. As a consequence, the symmetrization of the Bott connection turns out to be the Cartan connection of the Finsler manifold. Following Liu-Zhang \cite{LiuZ}, the Cartan connection can also be obtained through an adiabatic limit process. Furthermore, a Chern-Simons type form is defined and its conformal properties are discussed.

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BibTeX RIS

Huitao Feng, Ming Li. 2012-10-30. Adiabatic limit and connections in Finsler Geometry. https://arxiv.org/abs/1207.1552

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