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Part of book or chapter of book . 2003 . Peer-reviewed

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Sub-Riemannian Geometry and Subelliptic PDEs

Name: Sub-Riemannian Geometry and Subelliptic PDEs
Creator: Peter Greiner

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2003Publisher:Birkhäuser Boston

Authors: Peter Greiner;

doi: 10.1007/978-1-4612-0011-6_9

Sub-Riemannian Geometry and Subelliptic PDEs

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Abstract

Ishall discuss the connection between complex Hamiltonian mechanics and sub-Riemannian geometry on the Heisenberg group. Using these geometric concepts I shall describe the subelliptic heat kernel and its small time asymptotics. To extend this work to higher step operators I shall apply some of these concepts to a particular step 3 example.

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University of Toronto
Canada

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