by Robert Philipowski and Anton Thalmaier

We derive a stochastic representation formula for solutions of heat-type equations on vector bundles with time-dependent Riemannian metric over manifolds whose Riemannian metric is time-dependent as well. As a corollary we obtain a vanishing theorem for bounded ancient solutions under a curvature condition. Our results apply in particular to the case of differential forms.

*J. Math. Soc. Japan* **67** (2015) 1759-1769

http://dx.doi.org/10.2969/jmsj/06741759

The paper is available here:

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Robert Philipowski | robert.philipowski@uni.lu |

Anton Thalmaier | anton.thalmaier@uni.lu |