We explore some geometric properties of Lie groups admitting a left-invariant vector tield with equidistant flow lines.
Dilatation Vector Fields on the Loop Group
โ Scribed by Maria Elvira Mancino
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 152 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0022-1236
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โฆ Synopsis
On the loop space L(G) over a compact connected Lie group G, we explicitly determine the first order differential operator C t (dilatation vector field ) such that the heat equation holds with respect to the Wiener measure + L t defined on the loop space.
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