Surveys in Differential Geometry, Vol. 11: Metric and

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Journal of Symplectic Geometry 9 (2011), no. 1, 33–44 ( journal link ) Joint with David Shea Vela-Vick. The above examples of this non-uniqueness are all rank $1$ symmetric spaces. This book introduces differential geometry of two and three-dimensional Euclidean space with relatively little prerequisites. So, if we were to try and morph our donut shape into a circle, filling in its hole, we'd be rearranging it in a way even more profound than if we allowed it to keep its donut shape but stretched it out in every direction for a billion miles.

Pages: 347

Publisher: International Press of Boston (November 14, 2007)

ISBN: 1571461175

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