GEOMETRIC STRUCTURES ON PATH SPACES
- 1 November 2011
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Geometric Methods in Modern Physics
- Vol. 8 (7), 1553-1569
- https://doi.org/10.1142/s0219887811005786
Abstract
Let M be a C∞ manifold, and let be the space of all smooth maps from [0, 1] to M. We investigate geometric structures on constructed from the geometric structures on M. In particular, we show that a generalized (almost) complex structure on M produce a generalized (almost) complex structure on .Keywords
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