Nonpositive curvature on the area-preserving diffeomorphism group. Preston, S. C. Journal of Geometry and Physics, 53(2):226–248, 2005.
Nonpositive curvature on the area-preserving diffeomorphism group [link]Paper  bibtex   
@article{preston_nonpositive_2005,
	title = {Nonpositive curvature on the area-preserving diffeomorphism group},
	volume = {53},
	url = {http://www.sciencedirect.com/science/article/pii/S0393044004000993},
	number = {2},
	urldate = {2016-07-24},
	journal = {Journal of Geometry and Physics},
	author = {Preston, Stephen C.},
	year = {2005},
	pages = {226--248},
}

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