dc.contributor.author | Chang, Der-Chen | eng |
dc.contributor.author | Markina, Irina | eng |
dc.contributor.author | Vasiliev, Alexander | eng |
dc.date.accessioned | 2013-04-22T12:58:16Z | |
dc.date.available | 2014-01-01T23:30:09Z | |
dc.date.issued | 2010-12 | eng |
dc.Published | Asian Journal of Mathematics 14(4): 439-473 | eng |
dc.identifier.issn | 1093-6106 | en_US |
dc.identifier.uri | https://hdl.handle.net/1956/6534 | |
dc.description.abstract | Our main aim is to present a geometrically meaningful formula for the fundamental solutions to a second order sub-elliptic differential equation and to the heat equation associated with a sub-elliptic operator in the sub-Riemannian geometry on the unit sphere S3. Our method is based on the Hamiltonian-Jacobi approach, where the corresponding Hamitonian system is solved with mixed boundary conditions. A closed form of the modified action is given. It is a sub-Riemannian invariant and plays the role of a distance on S3. | en_US |
dc.language.iso | eng | eng |
dc.publisher | International Press | en_US |
dc.subject | Sub-Riemannian geometry | eng |
dc.subject | Sub-Laplacian | eng |
dc.subject | Heat kernel | eng |
dc.subject | Geodesic | eng |
dc.subject | Hamiltonian system | eng |
dc.title | Modified action and differential operators on the 3-D sub-Riemannian sphere | en_US |
dc.type | Peer reviewed | |
dc.type | Journal article | |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright International Press | en_US |
dc.identifier.cristin | 527064 | |
dc.source.journal | Asian Journal of Mathematics | |
dc.source.40 | 14 | |
dc.source.14 | 4 | |
dc.source.pagenumber | 439-473 | |