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The Heat Kernel on Riemannian Manifolds and Lie Groups

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Book cover Stochastic Methods and Computer Techniques in Quantum Dynamics

Part of the book series: Acta Physica Austriaca ((FEWBODY,volume 26/1984))

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Abstract

We give exact formulae for the heat Kernel on a class of Riemannian manifolds and Lie groups. These formulae express the heat Kernel in terms of lengths of geodesies of the corresponding manifolds.

Seminar given at the XXIII. Internationale Universitätswochen für Kernphysik, Schladming, Austria, February 20-March 1, 1984.

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© 1984 Springer-Verlag

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Arede, T. (1984). The Heat Kernel on Riemannian Manifolds and Lie Groups. In: Mitter, H., Pittner, L. (eds) Stochastic Methods and Computer Techniques in Quantum Dynamics. Acta Physica Austriaca, vol 26/1984. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8780-7_13

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  • DOI: https://doi.org/10.1007/978-3-7091-8780-7_13

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-8782-1

  • Online ISBN: 978-3-7091-8780-7

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