| EPSRC Reference: |
GR/M59723/01 |
| Title: |
STOCHASTIC METHODS AND THE GLOBAL GEOMETRY OF FINSLER SPACES |
| Principal Investigator: |
Zastawniak, Professor TJ |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of Hull |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 April 1999 |
Ends: |
30 September 2000 |
Value (£): |
51,732
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| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Mathematical Analysis |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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This project aims to solidify the theory of Finslerian diffusions by unifying the two schools of thought in the subject and, in doing so, make contributions to the global geometry of Finsler spaces. The theory of diffusions, Hodge theory, and the Gauss-Bonnet-Chern theorem have all been generalised to Finsler spaces with varying degrees of success. Yet, each approach yields distinct geometry constructions. We propose to relate these, and thus gain an understanding of the difficulties which arise in the various settings. The results, particularly the probabilistic method will be applied to obtain Finslerian versions of other index theorems.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.hull.ac.uk |